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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.

Sagot :

Mhanifaidn

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
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