Problema Solution

A small-town library buys a total of 35 books that cost $1034. Some of the books cost $22 each, and the remainder cost $34 each. How many books of each price did the library buy?

Answer provided by our tutors

let


x = the number of books that cost $22 each


y = the number of books that cost $34 each


A small-town library buys a total of 35 books that cost $1034:


x + y = 35


22x + 34y = 1034


by solving the above system of equations we find:


x = 13 books


y = 22 books


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the library bought 13 books that cost $22 each and 22 books that cost $34 each.