The local library had a sale to get rid of books that were slightly damaged . It sold paperback books for $2.00 and hard-covered books for $5.00. The
library raised $271 and sold 89 books. How many hard-cover books were sold?
We can set up a systems of equation from this situation.
paperback books : x hard-covered books : y
They sold total of 89 books. x + y = 89
The library raised $271. 2.00x + 5.00y = 271 which can be rewritten as... 2x + 5y = 271
So we got
x + y = 89 2x + 5y = 271
Using substitution method would be easier than elimination for this equations. Since we have to find out the number of hard-covered books, let's get rid of x. Make the first equation to be x = 89 - y.
