Middle School

A supplier sells \(\frac{214}{214}\) pounds of mulch for every \(\frac{113}{113}\) pounds of gravel. The supplier sells 172 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell?

The supplier sells _____ pounds of mulch and _____ pounds of gravel.

Answer :

Answer:

2.25 + 1 1/3=3.5833333 combined number of pounds of mulch and gravel sold.

2.25/3.583333 X 172=108 pounds of mulch that the supplier sells

(1 1/3) / 3.583333 X 172=64 pounds of gravel that the supplier sells.

Step-by-step explanation:

Let 'x' = pounds of gravel The ratio of mulch to gravel is given 2 1/4 / 1 1/3 Which equals 9/4 / 4/3 = 27/16

So the total gravel and much is equal to x + 27/16x = 172

Solving for 'x'

43/16 x = 172

x = 172 (16/43) = 64 pounds of gravel Mulch = 27/16x = 64 (27/16)= 108 pounds

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