A store is having a sale on jellybeans and almonds for 2 pounds of jellybeans and 5 pounds of almonds the total cost is eight in dollars for 8 pounds of jellybeans and 3 pounds of almonds the cost is $21 final cost for each pound of jellybeans in each pound of

Question

Mathematics

Leland Friedman

9 October, 20:33

A store is having a sale on jellybeans and almonds for 2 pounds of jellybeans and 5 pounds of almonds the total cost is eight in dollars for 8 pounds of jellybeans and 3 pounds of almonds the cost is $21 final cost for each pound of jellybeans in each pound of

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Answers (1)

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Darrell Hanna · Answer 1

jellybeans: $2 13/34 ≈ $2.38 per pound almonds: $11/17 ≈ $0.65 per pound

Step-by-step explanation:

If j and a represent the dollar cost per pound of jellybeans and almonds, respectively, then the two purchases can be represented by the equations ...

2j + 5a = 8 8j + 3a = 21

Multiply the first equation by 4 and subtract the second:

4 (2j + 5a) - (8j + 3a) = 4 (8) - (21)

17a = 11

a = 11/17

j = (8 - 5 (11/17)) / 2 = 2 13/34

Each pound of jellybeans costs 2 13/34 dollars; each pound of almonds costs 11/17 dollars. Rounded to cents, these costs are $2.38 and $0.65 per pound.