IDNStudy.com, ang iyong destinasyon para sa mabilis at kaugnay na mga sagot. Makakuha ng mga sagot sa iyong mga tanong mula sa aming mga eksperto, handang magbigay ng mabilis at tiyak na solusyon.

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.


Sagot :

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