Question

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

Answer 1

I would suggest you just write all the information down and it will make more sense. Like, write what you know. Then, write an equation to help you solve. I would help you with this, but I gtg. Just try writing it out yourself more simply, that often helps. The solving will be easy.

Answer 2

i've tried but its too confusing
think if someone exlpained it to me i would grasp the idea better

Answer 3

a = 1/8 A

and

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

and there are 108 boys at the end

Answer 4

could you further explain it some more please?

Answer 5

to begin, A = 1/8 A

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 180 boys in all

B+b = 108/3 = 36
so, 6 girls joined, or 96/16

Answer 6

so how is the number of girls who joined group b expressed as a fraction of boys who joined group a

Answer 7

12/16