Posted by **t** on Thursday, March 1, 2012 at 9:16pm.

there were 490 altogether in 2 groups. group A consited of only boys and group b constied of only girls. ther were 2 and a half times as many girls as boys. some girls joined group b and foe every 4 boys in group a 32 more boys jioned the group. the total number og girls was then one third the total number of boys. express the number of girls who jioned group b as a fraction of boys who jioned group a

- math -
**Steve**, Friday, March 2, 2012 at 10:45am
to begin, A = 5/2 B

a boys joined A

32/4 = 8, so 8A boys joined the group.so, A = 1/8 A

b girls joined B

So, now there are

B+b = 1/3(9A) = 3A

5/2 A + b = 3A

b = 1/2 A

b = 1/2 * 1/8 A = a/16

example:

A=12

B=30

A/4 = 3, so 3*32 = 96 boys joined A, making 1-8 boys in all

B+b = 108/3 = 36

so, 6 girls joined, or 96/16

- math :-( -
**Steve**, Friday, March 2, 2012 at 10:47am
sorry about the mistyped capitalization. The lines in error should read

a = 1/8 A

and

b = 1/2 * 1/8 a = a/16

and there are 108 boys at the end, not 1-8

## Answer This Question

## Related Questions

- maths - 1)There are 7 groups of Scouts attending a campfire with an average of ...
- Math - Which table correctly fills in the ratio table below? Boys 3 6 ___ 21 ...
- English Expression - A: How many boys and girls are there in the park? B: There ...
- Education - Ms. Ng has a class that is half boys and half girls. Given findings ...
- Math - If the ratio of girls to boys on the swim team is 2:3, which of these ...
- math - Michelle had 12 girls and 36 boys show up for field day. She wanted to ...
- math - The Infinity Club consists of 5 boys and 6 girls. How many working groups...
- data management gr.12 - The Infinity Club consists of 5 boys and 6 girls. How ...
- Math - Mrs.Smith's class has 12 girls and 8 boys. What percent of he class are ...
- Math - If the ratio of girls to boys on the track team is 5 to 6 which of these ...

More Related Questions