Middle School

A supplier sells \(\frac{9}{4}\) pounds of mulch for every \(\frac{4}{3}\) pounds of gravel. The supplier sells 172 pounds of mulch and gravel combined. How many pounds of each item did the supplier sell?

Answer :

We first write the fractions in their decimal forms and find out the ratio.

2 1/4 is equivalent to 2.25, and 1 1/3 is equivalent to 1.33

Ratio will be 2.25 / 1.33 = 1.69 or 1.7 rounded off. Since it cannot be simplified further, then the ratio of mulch to gravel will be 1.7: 1

Quantity of mulch sold → 1.7/2.7 of 172 →0.629 ×172 = 108.2 pounds

Quantity of gravel sold will be 172 -108. 2 = 63 .8 pounds



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