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18 February, 12:29

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)
  1. 18 February, 13:32
    0
    36 pounds cashews

    4 pounds walnuts
  2. 18 February, 15:56
    0
    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
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