A supplier 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

pounds-of-gravel

#1

A supplier 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. How many pounds of each item does the supplier sell? (Ratios and Rates)

Answer:

Let x be the amount of mulch sold and y be the amount of gravel sold. Then if the supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel:

[
\frac{x}{y}=\frac{2\frac14}{1\frac13}
]

and if the combined sales are 172, then

[
x + y = 172
]

This is a system of equations that you can solve by your favorite strategy (substitution, graphing, adding…)