Dried bananas sell for $0.80 per quarter-pound, and dried apricots sell for $1.00 per quarter-pound. How many pounds of apricots should be mixed with 5 pounds of bananas to get a mixture that sells for $0.95 per quarter-pound?

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Answer :

talhabhatt007 talhabhatt007 · Answer 1 · 2025-05-24T21:29:14-04:00

Approximately 3.69 pounds of apricots should be mixed with 5 pounds of bananas to get a mixture problem that sells for $0.95.

To find the solution, we can set up a system of equations.

Let x represent the number of pounds of apricots.

The cost of the bananas is $0.80 per quarter-pound, so the cost of 5 pounds of bananas is 5*(4/1)*$0.80 = $16.

The cost of the apricots is $1.00 per quarter-pound, so the cost of x pounds of apricots is x*(4/1)*$1.00 = 4x.

Since we want the mixture to sell for $0.95, the total cost of the mixture is $16 + 4x.

Setting up the equation: $16 + 4x = $0.95 * (5 + x).

Solving for x: 16 + 4x = 4.75 + 0.95x. Then, 3.05x = 11.25. Divide both sides by 3.05 to get x = ≈ 3.69 pounds.

Therefore, approximately 3.69 pounds of apricots should be mixed with 5 pounds of bananas to get a mixture that sells for $0.95.

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