How many pounds of each item does the supplier sell?

Question

A landscaper sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel. The supplier sells 172 pounds of mulch and gravel combined.

Answer 1

2 1/4 + 1 1/3 = 2 3/12 + 1 4/12 = 3 7/12 = 43/12

 

172/(43/12) = 172(12/43) = 48

 

2 1/4 = 9/4

1 1/3 = 4/3

 

48(9/4) = 108

48(4/3) = 64

 

The supplier sold 108 lbs of mulch and 64 lbs of gravel.