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

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?

Accepted Answer

Number of pounds of cashews is36 poundsand number of pounds of walnuts is4 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 = $1.50Step 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 poundsStep 3: Calculate number of pounds of walnuts⇒ Number of pounds of walnuts = 40 - C =4 pounds...

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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?

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?