Question

Item 4 A supplier sells 214 pounds of mulch for every 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. Item 4 A supplier sells 214 pounds of mulch for every 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 1

Answer:

4 pounds of each item

Step-by-step explanation:

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)

Mulch = 2 1/4 pounds

= 9/4 Pounds

Gravel = 1 1/3 pounds

4/3 pounds

Total items sold = 172

Let x = pounds of each item the supplier sells

Mulch : gravel

9/4 : 4/3

Change into whole number by multiplying by 12

(9/4)12 : (4/3)12

= 108/4 : 48/3

= 27 : 16

Mulch : gravel = 27 : 16

27x + 16x = 172

43x = 172

Divide both sides by 43

x = 172 / 43

= 4

x = 4 pounds

Check

27x + 16x = 172

27(4) + 16(4) = 172

108 + 64 = 172

172 = 172

Therefore, the supplier sells 4 pounds of each item