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A store sells $2\frac{1}{4}$ pounds of mulch for every $1\frac{1}{2}$ pounds of gravel sold. The store sells $180$ pounds of mulch and gravel combined. How many pounds of each item does the store sell

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Using the principle of proportional relationship, the amount of mulch and gravel sold is 108 and 72 pounds respectively.

Creating a ratio expression thus :

  • 2.25 pounds of mulch = 1.5 pounds of gravel
  • 2.25 : 1.5
  • Combined ratio= 2.25 + 1.5 = 3.75

Let :

  • Pounds of mulch sold = m
  • Pounds of gravel sold = g

Pounds of Mulch sold :

  • (2.25/3.75) × 180 = 108 pounds

Pounds of gravel sold :

  • (1.5 / 3.75) × 180 = 72 pounds

Hence, the amount of mulch and gravel sold is 108 and 72 pounds respectively.

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