Word problems......?

Question

The " good book: publishing company invited representatives from a certain number of schools to its presentation where it planned to donate 3050 books to the schools so that each school would get the same number of books. But it turned out that elven of the schools initially invited did not come to the presentation. However the publishing companu managed to divide the books equally among the schools that attended the ceremony. How many books did each of the schools get at the presentation?

Plzzz cn i have the answer figured out in detail and with workings..

thnks

Answer 1

The planned number of schools = P.

The actual number of schools = A.

A is 11 less than P.

The total number of books (3050) can be divided equally by both P and A.

So 3050 must be exactly divisible by two numbers which have a difference of 11.

3050 is exactly divisible by the following numbers: 610, 305, 61, 50, 10, 5.

The only two of these numbers with a difference of 11 are 61 and 50.

So A = 50.

So each school gets 3050/50 = 61 books at the presentation.