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If Peter picked 240 percent more plums than Roger picked and if Peter picked 6800 plums,

how many did both boys pick altogether?

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Answer:

9633 plums total

Explanation:

Recall that 240 percent is equivalent to the multiplier 2.4.

Thus, Peter picked 2.4 times as many plums as Roger.

Representing the number of plums picked by each person as p and r,

p = 2.4r

But p = 6800, and so: 6800 = 2.4r, meaning that r = 2833 1/3 plums. No one really picks 1/3 of a plum, so we could round this down to 2833 plums.

Thus, the total number of plums picked by both boys together is:

r + p = 2833 + 6800 = 9633 plums total

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