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An apple has 24 fewer calories than a banana. If 7 bananas have the same number of calories as 10 apples, how many calories are in a banana?

Let A = calories in apple and B = calories in banana.

B = A + 24

7B = 10A

Substitute A + 24 for B in the second equation and solve for a.

7(A+24) = 10A

Put that value in the first equation to find B. To check, put both values in the second equation.

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