Question

A store is having a sale on walnuts and chocolate chips. For 8 pounds of walnuts and 4 pounds of chocolate chips, the total cost is $37. For 3 pounds of walnuts and 2 pounds of chocolate chips, the total cost is $15. Find the cost for each pound of walnuts and each pound of chocolate chips

Answer 1

Answer:

x = $3.50; y = $2.25

Step-by-step explanation:

First, come up with your two equations where x= price of walnuts and y= price of chocolate chips: 8x + 4y = 37 and 3x + 2y = 15. Solve the first equation.

3x + 2y = 15

3x = 15 - 2y

x = (15 - 2y)/3

Plug in the answer to your second equation.

8(15 - 2y)/3 + 4y = 37

(120 - 16y)/3 + 4y = 37

120 - 16y + 12y = 111

120 - 4y = 111

-4y = -9

y = 2.25

Plug in your answer to find x.

3x + 2(2.25) = 15

3x + 4.5 = 15

3x = 10.5

x = 3.5

Check your equation.

1) 3(3.5) + 2(2.25) = 15

10.5 + 4.5 = 15

15 = 15

2) 8(3.5) + 4(2.25) = 37

28 + 9 = 37

37 = 37