Question

Question #af9a9

Answer 1

A: 96 erasers
B: 64 erasers
C: 80 erasers

Explanation:

If `A, B, & C` represent the number of erasers in each box, we know that `A+B+C=240`.
Given the final ratios of `A:B:C=6:5:4`, let's name the variable `x` for the number of erasers that make up the 6 parts in box A, the 5 parts in B, and the 4 parts in C.
This way, we can also say that `6x+4x+5x=240`.

Solve for `x`:
`6x+4x+5x=240`

`15x=240`

`(15x)/15=240/15`

`x=16`

Plug `x=16` back into the ratios to get the number of erasers in each case:
`A:6(16)=96` erasers
`B:4(16)=64` erasers
`C:5(16)=80` erasers

Hope that helps!