High School

A company sells a dried fruit mixture for five dollars per pound. The mixture is made by blending banana chips that cost $2.49 per pound with dried strawberries that cost $7.95 per pound. How many pounds of dried strawberries should be added to 3 pounds of banana chips to make the dried fruit mixture?

Answer :

Final answer:

To find out how many pounds of dried strawberries should be added to the 3 pounds of banana chips, we can set up an equation. By solving the equation, we find that approximately 2.53 pounds of dried strawberries should be added to the banana chips to make the dry food mixture.

Explanation:

To find out how many pounds of dried strawberries should be added to the 3 pounds of banana chips, we first need to determine the cost of the banana chips and the dried strawberries. The banana chips cost $2.49 per pound and the dried strawberries cost $7.95 per pound. Let's denote the number of pounds of dried strawberries as x. So the cost of the banana chips would be 3 pounds multiplied by $2.49 per pound, which is $7.47. The cost of the dried strawberries would be x pounds multiplied by $7.95 per pound, which is $7.95x. The total cost of the mixture would be the sum of the cost of the banana chips and the cost of the dried strawberries, which should equal $5 per pound. Therefore, we can write the equation:

$7.47 + $7.95x = $5x

To solve for x, we can first subtract $7.47 from both sides:

$7.95x = $5x - $7.47

Then, subtract $5x from both sides:

$2.95x = $7.47

Finally, divide both sides by $2.95 to solve for x:

x = $7.47 / $2.95

By dividing $7.47 by $2.95, we find that x is approximately 2.53 pounds of dried strawberries.

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