## Friday, February 10, 2012

### Someone Needs you at Plaza Middle School Part 2

Well they have done it again.  Plaza has requested that we participate in their problem of the week.  Here it is.

Work hard, Manga High still needs you.

angela816 said...
This comment has been removed by the author.
Jennifer873 said...

So the question we have to answer here is "What is the different options of total # of boys to girls in the classroom if boys are 67% of the classroom?"

Well one thing I found is that I noticed that 67 is a prime number. So then I tried different numbers which is the number of how many students there are in a class. I tried numbers like 49, 70 etc, but numbers less than 67 don't work. For sure the number 100 works because it's 67% so there would be a 67:33:100 ratio to boy: girls: total.
There are other possibilities, but these numbers must be bigger than 100.
(boys:girls:total)
134: 66: 200
201: 99: 300
268: 132: 400
335: 165: 500
402: 198: 600
469: 231: 700
536: 264: 800
603: 297: 900
670: 330: 1000

Those are just some possibilities that I found.

angela816 said...

The question asks: "My classroom is 67% boys. What are the different options for the total number of boys to girls in my classroom?"
We start off by finding out what the percentage of females there are:
100-67=33.... so the percentage of females in the class is 33%.

According to a statistic analysis, the average size of classrooms in the US consists of 24 students. (info. from http://economix.blogs.nytimes.com/2009/09/11/class-size-around-the-world/) Since there are 24 students all together, it can also be interpreted as 100%.
Next, we find what 67% of 24 would be.... 67 is a prime number so its only factors are one and itself.
67 / 100 = 0.67
0.67 x 24 = 16.08 rounded to 16.
So there are 16 males in the classroom. And the remainder would be the number of females.
24 - 16 = 8
but, 0.33 x 24 = 7.92 rounded to 8.
There are 8 students that are females.
Here are some ratios for the total number of boys to girls:
16 : 8 (There are 16 male students for every 8 female students
or
8 : 4(There are 8 male students for every 4 female students
or
4 : 2(There are 4 male students for every 2 female students)
or
2 : 1 (There are 2 male students for every female student)

Of course there are hundreds of possibilities for answers I've written just 4 of them.

Anonymous said...

they said that there are 67 percent of boys in the class room but they asked how many girls and boys are in total in the class . some possibilities are it could be out of 100 like 33 girls and 67 boys i agree with Jenifer because lets say we use 50 student the 67 percent of 50 is 33.5and 33 percent of 50is 16. 5 that will be impossible because you cant divide students in half. so i agree with Jenifer because we have to use number that are multiple of a hundred
For example
134 boys 66 girls out of 200
201 boys 99 girls out of 300
268 boys 132 girls out of 400
335 boys 165 girls out of 500
402 boys 198 girls out of 600
That's are some of the possibilities i am sure that there a lot of more possibilities .

PAULO EMETERIO:D

Cindy814 said...

This question is asking what are the different options for the total number of boys to girls in a classroom that has 67% boys. First, I think this question is asking for a ratio because in the question it asked the total number of boys to girls, which should be a comparison. But before we can compare the numbers, we have to figure out what the number or percentage the girls are.

So I start by changing the percentage of the number of the boys to a fraction, which will be 67/100 because percents are out of 100. Then I subtract 67 from 100 because 67 out of 100 is boys, the rest has to be girls. The answer is 33, which is 33%. Last, I simply write the ratio as 67:33 to represent that every 67 boys, there will be 33 girls.

After I did that, I realize that 67% ≈ two thirds or 2/3 of 100%, and 33% ≈ one third or 1/3 of 100%. So we can also say the ratio is approxiamately 2:1.

Because there are just too much possibility, and people before me have all shown many possible numbers, so I am not going to show the possible numbers using the ratios.

casey816 said...

The question is "My class has 67% of boys. What are the different options of the total # of boys to girls in the classroom?"

We know that the percentage of boys in the class is 67%, so we have to find the percentage of girls in the class.
100-67=33
So the percentage of girls in the class is 33%.

One possibility is that the class could have 100 students, so there would be 67 boys, and 33 girls.
0.67x100=67

I tried different numbers of how many students there are in a class. I noticed that numbers less than 67 don't work. 100 will work because 0.67x100=67%. So the other possibilities has to be a number over 100.

Example:
boys:girls:total
134:66:200
134/200=0.67
0.67x100=67%

201:99:300
268:132:400
335:165:500
402:198:600
469:231:700
536:264:800
603:297:900
670:330:1000

Those are just some possibilities. There are probably more possibilities.

diana817 said...

Question: My classroom is 67% boys. What are the different options for the total numbers of boys to girls in my classroom?

boys= 67%~0.67 (67 / 100= 0.67)
girls= 33% (100%-67%= 33%) ~ 0.33
total~boys~girls
28~19~9
formula: total number of children x total percent of boys/ girls but convert it into decimal first.
(boys:28 x 0.67= 18.76 total number of boys but i rounded it, which makes 19 total number of boys.
girls:28 x 0.33=9.24~ 9 total number of girls
26~17~9
24~16~8
25~17~8

Diana Basa
8-17

jairusa873 said...

I agree with Jennifer, to find the total you have to divide 67% by 100
67\100=0.67
then multyply by any number higher then 100
Ex.
0.67x200=134 boys

To find girls you have to take away 67 from 100
100-67=33% girls

Then divide 33 by 100
33\100=0.33

After multiply by any number higher then 100
Ex.
0.33x200=66 girls

So this is what you get:
Ex.
Boys/girls/total
134 66 200
So this is saying 134 boys are in class of 200 and 66 are girls

Other:
Boys/girls/total
134 66 200
201 99 300
268 132 400
335 165 500
402 198 600
469 231 700
536 264 800
603 291 900
670 330 1000

hannah816 said...

The question is "My classroom is 67% boys. What are the different options for the total # of boys to girls in my classroom?"

So, we know that 67% of his class are boys, therefore 33% are girls; 100%-67%=33%.

Let's assume the class has 30 students.
100%=30
Now, we find 67% of 30;
67/100=0.67
0.67x30=20.1, lets round that to 20 boys.
Next we find 33% of 30;
33/100=0.33
0.33x30=9.9, rounded to 10 girls.
We can also find the remainder to determine how many girls there are; 30-20=10.

Ratios (boys:girls:total)
2:1:3
10:5:15
20:10:30
40:20:60
60:30:90
80:40:120
100:50:150
120:60:180
140:70:210
160:80:240
180:90:270
200:100:300

These are just some possible answers, there are many more.

kim873 said...

Question:
My class has 67% of boys. What are the different options of the total # of boys to girls in the classroom?

Before we compare whatever ratio's we are about to solve for the question, we first have to figure out the percentage of the girl's in the class of 67% boys.

67% of the boys = 67/100 as a fraction.
100% - 67% = percent of girls.
33% = percentage of girls.

Ratio:
boys: girls: total
67: 33: 100 <---- ratio of how many girls there are in every 67% of boys.

This could also mean that in Mr. Wilson's classroom, he could have had 100 students with 67 boys, and 33 girls because percents mean out of 100.

In my opinion, I agree with Casey when she says that the numbers less than 100 could not work because all the numbers lower than 100 multiplied by 0.67 equals a number with a decimal. example: 0.67 x 20 = 13.4. The possibilities must be over 100 to get a whole number. Here are some possibilities:

boys: girls: total

-200: 100: 300
-220: 110: 330
-240: 120: 360
-260: 130: 390
-290: 140: 420
-300: 150: 450
-320: 160: 480
-340: 170: 510

These are just some possibilities. There are a lot more though.

aaron873 said...

So the question is "What is the different options of total # of boys to girls in the classroom if boys are 67% of the classroom?"

There are many possibilities for the answer. So like what if it was out of 100 and there are 67 boys. So the answer would be 33 because 67+33=100.But still I agree with Jennifer too because there are many possible ways you can do it. So the number must be higher then 100. Your answer for a ratio would be boys:girls:total.
The possible ways are like Jennifer but I'll do only 5 of them
134 is boys 66 is girls 200 is total
201 is boys 99 is girls 300 is total
268 is boys 132 is girls 400 is total
335 is boys 165 is girls 500 is total
402 is boys 198 is girls 600 is total

There are many possible ways

Mr. H said...

Curious answers. How many classes do you know with 200 to 400 students? Try to think of the question differently. What is 67%? What else could it be?? Think outside the box, this is an open ended question. I think there could be 20 boys in my class and some girls and the answer would be 67%!

Anonymous said...

they said that there are 67 percent of boys in the class room but they asked how many girls and boys are in total in the class . some possibilities are it could be out of 100 like 33 girls and 67 boys i agree with Jenifer because lets say we use 50 student the 67 percent of 50 is 33.5and 33 percent of 50is 16. 5 that will be impossible because you cant divide students in half. so i agree with Jenifer because we have to use number that are multiple of a hundred
For example
134 boys 66 girls out of 200
201 boys 99 girls out of 300
268 boys 132 girls out of 400
335 boys 165 girls out of 500
402 boys 198 girls out of 600
That's are some of the possibilities i am sure that there a lot of more possibilities .

PArt Two

there cant be 200 to 400 hundred students in one class so let say there is 35 students in his class so to find 67% what we could do is .67 multiply it be 35 and you will get 22.75 and lets round it to the nearest whole number which is 23 so there is a possibility that there is 23 boys in his class and there is 12 girls in his class that is just one possibility i am sure there is more that one possibilities

Paulo emeterio 873

Anonymous said...

The question we needed to answer is: "What is the different options of total number of boys to girls in the classroom if boys are 67% of the classroom?"

We know that the percentage of the boys are 67% .. which means that the percentage of the girls are 33% ..
(100-67=33)`

According to this website (http://www.usatoday.com/news/education/2008-03-24-small-classes_N.htm) the average amount of students per class in the United States has 23 students. (agreeing to Angela)
So, 23 is our 100% and we need to find out 67%.

.67x100=67(%)
.67x23=15.41
So, about 15 students out of 23 are boys, or 15:23.
23(total number)-15(boys)=8 (girls).

Other possibilities:
(girls:boys:total)
33:67:100 (if it was out of 100)
for ever 67 boys there are 33 girls.
66:134:200 (out of 200)
132:268:300 (out of 300)
165:335:400 (out of 400)
..and so on, there are a lot more possibilities, these are just some of them that I thought of.

-Daphne Amelo 8-73 (:

Anonymous said...

(Curious answers. How many classes do you know with 200 to 400 students? Try to think of the question differently. What is 67%? What else could it be?? Think outside the box, this is an open ended question. I think there could be 20 boys in my class and some girls and the answer would be 67%!)

(continued ->Daphne Amelo873)

Since having 200-400 students per class wouldn't be really normal..
"Lets say", there are 34 students in one class. the total is 34 also known as our 100%. So, .67 multiplied by 34 (.67x34) equals to 22.78 (rounded to 23). This gives us 23, which is the amount of boys if a class consists 34 students. To find the amount of girls, Subtract 23 from 34 (34-23)equals 11. In this case, there are 11 girls for every 23 boys. (girls:boys:total) 11:23:34.

Anonymous said...

Question:My class has 67% of boys. What are the different options of the total # of boys to girls in the classroom?

It all depends if the teacher rounded the percentage or not. Suppose, if he didn't, then there would be 100 people in one class. 67 people are guys, and 33 would be girls. Or what the other people said up there ^^^^.

But, if he did round the percentage, there would be many possible answers. It also depends how he "rounded" the answer. Some people just cut it off at the decimal point.

Ex.:
If he just looked at the numbers before the decimal and suppose there were 31 people in the class, there would be 21 boys and 10 girls. 21 divided by 31 = 67.741....%
But as I said, if he just looked at the whole number, it would be 67%.
-Duong.

kyanna 718 said...

So the question we have to answer his "What is the different options of total # of boys to girls in the classroom if boys are 67% of the classroom?"

Boys = 67%
Girls = 100%-67% which is 33%

So lets say there is a total of 40 kids in the class. We have to find how much boys there are then how much girls there are.

Boys: 67/100=0.67%
0.67x40=26.8 so lets round to 27 boys in the class

Girls: 33/100=0.33%
0.33x40=13.2 so lets round to 13 girls in the class

27+13=40
So there are 13 girls an 27 boys if the class had 40 students in it.

Ratio
67:33:100
27:13:40
134:66:200

Hope i did it right :p
Kyanna 8-73

Anonymous said...

So the question we have to answer his "What is the different options of total # of boys to girls in the classroom if boys are 67% of the classroom?"

Lets say there are a total of 30 kids in the classroom. We have to find out how many boys than girls that are in the class.

KYIA GILES
Boys : 67/100 =0.67%
Girls 100%-67%=33%

Boys: 67/100=0.67%
0.67x30=20.1 so lets round to 20 boys in the class.

Girls: 33/100=0.33%
0.33x30=9.9 so lets round to 10 girls in the class

20+10=30
So there are 10 girls an 20 boys if the class had 30 students in it.

KYIA GILES (:

Jackie8-16 said...

First of all we know that we there are 67% of boys in a classroom out of a hundred percent but the question is asking the comparison between boys to girls. Now we have to find the percentage of girls, which would be 33% because 100-67= 33. The ratio for this comparison is 67:33.

Another example is that in my class there are around 30 students in my class. So if the question was there where 67% of boys in a class of 30 students, what are the comparison you may make from boys to girls?

To find the answer you write 67% as a decimal.
67 divided by 100=.67
Now find the percentage of girls.
100-67=33
Find how many students are boys.
.67x30=20.1
Round it to 20 students
.33x30=9.9
Round it to 10 students.

.33 is approximately 1/3.
1 third of 30 is 10.

the ratio is..
20:10
20 boys to 10 girls
or
10:5

There are much more possibilities that anyone can name but this is never ending.

Sarah816 said...

The question asks "My classroom is 67% boys. What are the different options for the total number of boys to girls in my classroom?"

First we should start off by finding out how many girls are in the classroom. (100% - 67% = 33%).
Since there about 35 people in our classroom. It can be interpreted as 100%.
Next we determine what 67% of 35 is. (67/100=0.67 0.67x35=23.45) 23.45 is rounded to 23.
So there are 23 males in the classroom, and the remainder would be the number of females in the classroom. (35-23=12)
To prove if this is right we can:
33/100=0.33
0.33x35=11.55. 11.55 is rounded to 12. So our answer is correct.

ghelo8-14 said...
This comment has been removed by the author.
Mr. H said...

Ghelo that is the comment of the year

michael8-17 said...
This comment has been removed by the author.
michael8-17 said...

The question asks: "My classroom is 67% boys. What are the different options for the total number of boys to girls in my classroom?"

According to a statistic analysis the average size of students in a class room is 24
so first we have to find 67 percent of 24
0.24x67= 16.08
So this means that there is only 8 girls in the class and that is 33 percent of the class
Here are now some ratios from boys in the class to the girls in the class.
(boys:girls)
16:8
8:2
4:2
2:1

Michael Saceda 8-17

Question: My classroom is 67% boys. What are the different options for the total numbers of boys to girls in my classroom?

boys= 67%~0.67 (67 / 100= 0.67)
girls= 33% (100%-67%= 33%) ~ 0.33
total~boys~girls
28~19~9
formula: total number of children x total percent of boys/ girls but convert it into decimal first.
(boys:28 x 0.67= 18.76 total number of boys but i rounded it, which makes 19 total number of boys.
girls:28 x 0.33=9.24~ 9 total number of girls
26~17~9
24~16~8
25~17~8

Gurpreet 8:17 said...

The question is asking us,"My classroom is 67% boys. What are the different options for the total number of boys to girls in my classroom?"

The first we should do is find out how many girls are in the classroom and the way I figured that out is...
(100% - 67% = 33%)
Since there about 30ish people in our classroom.That number we can make as our 100% because 100% is any number but a whole of it. .
Next we determine what 67% of 30 is. (67/100=0.67 0.67x30=20.1) 20.1 is rounded to 20.
So there are 20 males in the classroom, and the remainder would be the number of females in the classroom. (30-20=10)
This is only one way to do it. if you pick a different number for the 100% it would be a different number