Question #af9a9

1 Answer
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 #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!