Three workers sort 66 boxes in a day one of the workers is three times more productive than the second worker and twice as productive as the third worker how many boxes did the second most productive workers sort?

Question

Everett Merritt

Mathematics

31 December, 04:32

Three workers sort 66 boxes in a day one of the workers is three times more productive than the second worker and twice as productive as the third worker how many boxes did the second most productive workers sort?

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Answers (1)

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Savage · Answer 1

Let’s assign variables for each workers

Let x = number of boxes sorted by worker 1

Let y = number of boxes sorted by worker 2

Let Z = number of boxes sorted by worker 1

=> X = 3Y

=> X = 2Z

The equation would be:

=> X + Y + Z = 66

=> X + X/3 + X/2 = 66

=> 6X + 2 X + 3 X = 396

=> 11 X = 396

=> 11X / 11 = 396 / 11

=> X = 36

X = 36

Y = 36 / 3 = 12

Z = 36 / 2 = 18

=> 36 + 12 + 18 = 66