Answer :
Comparing the energy output of active panels, Ben's 4 out of 6 solar panels are producing more energy than Ismael's 3 out of 5 panels because a larger fraction of Ben's total set is active.
The question is asking us to compare the energy production of two sets of solar panels belonging to Ismael and Ben. Ismael has 5 solar panels, while Ben has 6 smaller ones, but both sets produce the same total amount of energy. Since 3 of Ismael's panels are on and 4 of Ben's are on, and assuming that all panels within each set produce energy uniformly, the energy produced by each panel can be calculated by dividing the total energy output of the set by the number of panels in the set.
To find out who's producing more energy, we compare the energy output of the active panels from each person. With Ismael's active panels: 3/5 of the total set energy; and with Ben's: 4/6 (which reduces to 2/3) of the total set energy. Since 2/3 is greater than 3/5, Ben's panels are producing more energy when the 4 panels are active.
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Answer:
Ben's
Step-by-step 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
