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A supplier sells 214 2 1 4 pounds of mulch for every 113 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? The supplier sells pounds of mulch and pounds of gravel. PLRASE HELP

Respuesta :

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