Question

a store is having a sale on walnuts and chocolate chips. for 3 pounds of walnuts and 5 pounds of chocolate chips, the total cost is $20. for 6 pounds of walnuts and 2 pounds of chocolate chips, the total cost is $14. find the cost for each pound of walnuts and each pound of chocolate chips.

Answer 1

Answer:

• Walnuts - $1.25, chocolate chips - $3.25

Step-by-step explanation:

Let walnuts = x, chocolate chips = y

Set a system and solve:

• 3x + 5y = 20
• 6x + 2y = 14

Double the first equation and subtract the second one from it:

• 6x + 10y - 6x - 2y = 40 - 14
• 8y = 26
• y = 26/8
• y = 3.25

Find the value of x:

• 6x + 3.25*2 = 14
• 6x = 14 - 6.5
• 6x = 7.5
• x = 7.5/6
• x = 1.25