How much cashews at $1.58 per pound must be mixed with walnuts that cost 78 cents per pound to make a mixture of 40 pounds of nuts that cost $1.50 per pound?

Question

Tamara Warren

Mathematics

8 December, 01:40

How much cashews at $1.58 per pound must be mixed with walnuts that cost 78 cents per pound to make a mixture of 40 pounds of nuts that cost $1.50 per pound?

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Answers (2)

Know the Answer?

Zachariah Dunlap · Answer 1

Zachariah Dunlap 8 December, 01:58

0

36 pounds cashews

4 pounds walnuts

Ben Juarez · Answer 2

Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.

Step-by-step explanation:

Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50 Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.

⇒ 1.58 C + (40-C) 0.78 = 40 * 1.50

⇒ 1.58 C + 31.2 - 0.78 C = 60

⇒ 1.58 C - 0.78 C = 60 - 31.2

⇒ 0.8 C = 28.8

⇒ C = 36 pounds

Step 3: Calculate number of pounds of walnuts

⇒ Number of pounds of walnuts = 40 - C = 4 pounds