math
posted by t .
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

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 18 boys in all
B+b = 108/3 = 36
so, 6 girls joined, or 96/16 
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 18
Respond to this Question
Similar Questions

maths
there are 100 boys, 80 girls, and 20 teachers. In how many ways can a group of 5 (2 girls, 2 boys and a teacher) be selected? 
English Expression
A: How many boys and girls are there in the park? 
maths
1)There are 7 groups of Scouts attending a campfire with an average of 28 scouts per group. Each group has a different number of scouts. If the largest group has 33 scouts in it, what is the smallest possible number of scouts in each … 
math
a class of 15 student with 5 girls and 10 boys.they are divided into 3 groups each of 5 to do different group projectA,B,C respectively .how many ways can be grouped (A)if no restriction? 
math
In a group no. of boys is48/5, no of girls is 32/5 and no. of techer is 2. Find the ratio of boys, girls and teacher? 
Education
Ms. Ng has a class that is half boys and half girls. Given findings on gender differences in verbal and spatial ability, which of the following is she most likely to find? 
math
Of a group of students 5/8 of them are boys. The girls are put into groups so that each group has 1/6 of the total number of students. How many groups of girls are there? 
math
Michelle had 12 girls and 36 boys show up for field day. She wanted to divide them into groups so that each group had the same number of girls and boys. What is the greatest number of groups that Michelle can make if all of the children … 
Math
A group consists of 5 boys and 6 girls. How many committees of 5 can be formed that consits of 2 boys 3 girls. Multiple choice: a)150 b) 200 c) 1800 d)2400 
Math
Which table correctly fills in the ratio table below?