SOLUTION: solve,show your work. An apple has 24 fewer cal than a banana. if 7 bananas have the same cal as 10 apples, how many cals are in a banana?

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Question 362735: solve,show your work.
An apple has 24 fewer cal than a banana. if 7 bananas have the same cal as 10 apples, how many cals are in a banana?

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = # of calories in an apple,
b = # of calories in a banana. Hence, a = b -24, and 7b = 10a. By direct substitution, 7b = 10(b-24). 7b = 10b-240, and so 240 = 3b, or b = 80. A banana has 70 calories, while an apple has 56 calories.