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How many 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? will mark the brainiest!!!!!!! ASAP, please answer. Whoever answers first, and correctly.

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sqdancefan

Answer:

  36 pounds of cashews

Step-by-step explanation:

Let c represent the pounds of cashews in the mix. Then 40-c will be the pounds of walnuts, and the cost of the mix will be ...

  1.58c +0.78(40-c) = 1.50(40)

  0.80c +31.20 = 60.00 . . . . eliminate parentheses

  0.80c = 28.80 . . . . . . . . . . .subtract 31.20

  c = 36 . . . . . . . . . . . . . . . . . .divide by 0.80

36 pounds of cashews must be mixed with 4 pounds of walnuts to make 40 pounds of mix.

Answer:

40 pounds of nuts

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