Question

A pound of dried pineapple bits sells for $6.99, a pound of dried banana chips sells for $4.39, and a pound of raisins sells for $2.89. Two pounds of raisins are to be mixed with equal amounts of pineapple and banana to create a trail mix that will sell for $4.89 a pound. How many pounds of pineapple and banana chips should be used?

Answer 1

Answer:

2.5 pounds of pineapple and 2.5 pounds of banana chips should be used.

Step-by-step explanation:

Let the amount dried pineapple and banana chips to be added in the mix x.

Let the amount of raisins added to the mix = 2 pounds

A pound of dried pineapple bits sells for $6.99.

A pound of dried banana chips sells for $4.39

A pound of raisins sells for $2.89

x × $6.99 +x × $4.39 + 2 × $2.89 = (x + x + 2) × $4.89

$x(\ 6.99+\ 4.39)+\ 5.78=\ 9.78x+\ 9.78$

$11.38x-9.78x=9.78-5.78$

$x=\frac{9.78-5.78}{11.38-9.78}=2.5$

2.5 pounds of pineapple and 2.5 pounds of banana chips should be used.