A store is having a sale on almonds and jelly beans. For 3 pounds of almonds and 5 pounds of jelly beans, the total cost is $19. For 9 pounds of almonds and 7 pounds of jelly beans, the total cost is $35. Find the cost for each pound of almonds and each pound of jelly beans.

Cost for each pound of almonds: $

Cost for each pound of jelly beans:$

Question

Mathematics

Tasha

29 May, 17:17

A store is having a sale on almonds and jelly beans. For 3 pounds of almonds and 5 pounds of jelly beans, the total cost is $19. For 9 pounds of almonds and 7 pounds of jelly beans, the total cost is $35. Find the cost for each pound of almonds and each pound of jelly beans.

Cost for each pound of almonds: $

Cost for each pound of jelly beans:$

+5

Answers (1)

Know the Answer?

Tyrell Holder · Answer 1

Almond: $7/4 per pound

Jelly Bean: $ 11/4 per pound

Step-by-step explanation:

A: almond

J: jelly bean

3A + 5J = 19 ... multiply 9 each side

27A + 45J = 171 ... (1)

9A + 7J = 35 ... multiply 3 each side

27A + 21J = 105 ... (2)

(1) - (2) 24J = 66

J = 66/24 = 11/4

3A + 5 x 11/4 = 19

3A = 21 / 4

A = 7/4