13. A grocer mixes pecans priced at $4.50 per pound with almonds priced at $5.25 per pound. How

many pounds of each type of nuts should be used to have a total mixture of 14 pounds priced at $4.80

per pound?

Question

Music Man

Mathematics

8 September, 09:40

13. A grocer mixes pecans priced at $4.50 per pound with almonds priced at $5.25 per pound. How

many pounds of each type of nuts should be used to have a total mixture of 14 pounds priced at $4.80

per pound?

+3

Answers (1)

Know the Answer?

Charlize Hubbard · Answer 1

Almonds = 5 and 3/5 pounds Pecans = 8 and 2/5 pounds 8+5=13 3/5+2/5 = 5/5 (=1) 13+1 = 14

Step-by-step explanation:

14 pounds at $4.80 = $ 67.20

A=almonds P = pecans

a+p = 14 p = (14-a)

5.25A + 4.50 (14-A) = 67.20

5.25A + 63 - 4.5A = 67.20

0.75A = 4.20

A=5.6 P = 14-5.6 = 8.4

Almonds 5.6*5.25 = 29.4

Pecans 8.4 * 4.50 = 37.8

29.4 + 37.8 = 67.20

13. A grocer mixes pecans priced at $4.50 per pound with almonds priced at $5.25 per pound. Howmany pounds of each type of nuts should be used to have a total mixture of 14 pounds priced at $4.80per pound?

13. A grocer mixes pecans priced at $4.50 per pound with almonds priced at $5.25 per pound. How

many pounds of each type of nuts should be used to have a total mixture of 14 pounds priced at $4.80

per pound?