# Question af9a9

Feb 14, 2018

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 $6 x + 4 x + 5 x = 240$.

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

$15 x = 240$

$\frac{15 x}{15} = \frac{240}{15}$

$x = 16$

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

Hope that helps!