Question

NEED ASAP! A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost $4.00 per pound and cashews cost $6.50 per pound, how many pounds of each should he use?

Let p = pounds of peanuts and let c = pounds of cashews. Write a system of equations that could be used to solve the problem.

Answer 1

Answer:

P=pounds of peanuts; C=pounds of cashews

.

P+C=10 pounds

P=10-C Use this to substitute for P below.

.

$4.00P+$6.50C=($4.75/lb)(10 lbs) Substitute for P from above.

$4.00(10-C)+$6.50C=$47.50

$40.00-$4.00C+$6.50C=$47.50

$2.50C=$7.50

C=3 ANSWER 1: he should use 3 pounds of cashews.

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P=10-C=10-3=7 ANSWER 2: He should use 7 pounds of peanuts.

.

CHECK:

$4.00P+$6.50C=($4.75/lb)(10 lbs)

$4.00(7)+$6.50(3)=$47.50

$28.00+$19.50=$47.50

$47.50=&47.50

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Answer 2

Answer:

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