Question

Nayeli is proofreading a 75 page manuscript. Filémon is line editing a 40 page manuscript.
Since proofreading is faster, Nayeli completes 11 pages an hour, but Filémon only completes 4 pages an hour.
When Nayeli and Filémon have the same number of pages left, how many pages will that be?

Answer 1

If Nayeli and Filémon have the same number of pages left, the number of pages is: 20 pages.

Number of pages

Let assume that after x hours Nayeli and Filémon will have the same number of page left

Hence:

75-11x=40-4x

Collect like term

7x=35

Divide both side by 7x

x=35/7

x=5

Hence:

75-11x where x=5

75-11(5)

=75-55

=20 pages

Therefore if Nayeli and Filémon have the same number of pages left, the number of pages is: 20 pages.

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