A pound of dried pineapple bits sells for $6.29, a pound of dried banana chips sells for $4.69, and a pound of raisins sells for $2.29. Two pounds of raisins are to be mixed with equal amounts of pineapple and banana to create a trail mix that will sell for $4.99 a pound. How many pounds of pineapple and banana chips should be used? (Round your answer to the nearest tenth of a pound.)

The key is that you are given the amount of raisins to be mixed (2 pounds) and are told to mix them with equal amounts of pineapple and banana. That means that all of the other information is irrelevant. Your mix will contain 2 pounds of raisins, 2 pounds of pineapple, and 2 pounds of banana.

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Srujan25 Srujan25 · Answer 2 · 2024-01-21T16:45:38+01:00

Answer:

5.4 Pounds

Step-by-step explanation:

We want our price/pound to be equal to $4.99

We can set our equation as such:

(2 Pound Raisin + X Pound Pineapple + X Pound Banana) / (2x + 2) = 4.99

- Substitute price of raisins

(4.58 + x Pound Pineapple + x Pound Banana) / (2x + 2) = 4.99

-Multiply both sides by (2x+2)

(4.58 + x Pound Pineapple + x Pound Banana) = 9.98 + 9.98x

x Pound Pineapple + x Pound Banana = 5.4+ 9.98x

- Substitute price of Banana and Pineapple

4.69x + 6.29x = 5.4 + 9.98x

10.98x = 4+9.98x

1x = 5.4

5.4 Pounds

x = 4

4 pounds of Bananas and Pineapples