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.

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Somaisrightviz Somaisrightviz · Answer 1

Answer:

p=7 pounds

c=3 pounds

Step-by-step explanation:

Equation 1

p+c=10

p=10-c

Equation 2

4p+6.5c=4.75(10)

Substitute value of p from equation 1 to equation 2

4(10-c)+6.5c=47.5

40-4c+6.5c=47.5

2.5c=47.5-40

2.5c=7.5

c=7.5/2.5

c= 3 pounds

Substitute value of c

p=10-c

p=10-3

p= 7 pounds

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