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Ismael has a set of 5 solar panels and Ben has a set of 6 smaller solar panels. Each set of panels produce the same amount of energy. 3 of Ismael's panels are on and producing energy. 4 of Ben's are on and producing more energy. Whose solar panels are producing more energy? Explain.

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Answer:

Ben's

Explanation:

If E is the amount of energy that each full set of panels produces, then ...

3 of Ismael's 5 panels produce 3/5E

4 of Ben's 6 panels produce 4/6E

We can compare these fractions when they have a common denominator.

3/5E = 18/30E . . . . energy from Ismael's panels

4/6E = 20/30E . . . energy from Ben's panels

18/30 < 20/30 . . . . so Ben's panels are producing more energy

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