A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.29 per pound.

Question

If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?  I need an answer ASAP please!!

Answer 1

Label each nut with a variable, c = cashews, p = peanuts.....

for a 10-pound mix, you will need c + p = 10

the price for 10-pounds would become 3.29 x 10 = 32.90

 

You will need an unknown amount of cashews at 5.60/lb and an unknown amount of peanuts at 2.30/lbs to get your full 10 pounds valued at 32.90

5.60c + 2.30p = 32.90

 

Now you 2 have a system of 2 equations and 2 unknowns

c + p = 10

5.6c + 2.3p = 32.9

utilize substitution to solve:

p = 10-c

5.6 c + 2.3 (10-c) = 32.9

solve for c then substitute back in to c + p = 10 to solve for P