Question

Nancy’s nut store sells peanuts for $2 per pound and cashews for $10 per pound. The store sells a peanut - cashew mixture for $7 per pound. How many pounds of peanuts and how many pounds of cashews should be used to create 40 pounds of the mixture? I’m

Answer 1

9514 1404 393

Answer:

• 25 pounds cashews
• 15 pounds peanuts

Explanation:

Let c represent the number of pounds of cashews in the mix. Then 40-c is the number of pounds of peanuts. The total cost of the mix is ...

10c +2(40 -c) = 7(40)

8c +80 = 280 . . . . simplify

c +10 = 35 . . . . . . . divide by 8

c = 25 . . . . . . . . . . subtract 10

40-c = 40-25 = 15 . . . . pounds of peanuts

25 pounds of cashews and 15 pounds of peanuts should be used in the mix.