Question

111 Thirty dollars is to be divided among three girls and two boys so that each of the girls receives twice as much as each of the boys. How much does each receive?

Answer 1

Each boy receive $3.75 and Each girl receive $7.5

Explanation:

Given : Thirty dollars is to be divided among three girls and two boys so that each of the girls receives twice as much as each of the boys.

To Find: How much does each receive?

Solution :

Let each boy gets $x

Since we are given that each of the girls receives twice as much as each of the boys

So, each girl receive amount = 2x

Since there are 3 girls .

So, 3 girls received the amount = 3*(2x)=6x

Now each boy gets x amount

So, 2 boys get amount = 2*x =2x

Since thirty dollars are divided among them .

So,
`6x+2x=30`

`8x=30`

`x=(30)/(8)`

`x=3.75`

Thus each boy gets $3.75

Each girl receive amount = 2x = 2*3.75= $7.5

Hence Each boy receive $3.75 and Each girl receive $7.5