Problema Solution

AT a bookstore, used hardcover books sell for $8 each and used softcover books sell for $2 each. You purchase 36 used books and spen $144. How many softcover books do you buy?

Answer provided by our tutors

let


x = the number of hardcover books

y = the number of softcover books


you purchase 36 used books and spend $144


x + y = 36


the cost of x used hardcover books + the cost of y used softcover books = the total cost


8x + 2y = 144 divide both sides by 2


4x + y = 72


by solving the system of equations


x + y = 36

4x + y = 72


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we find


x = 12 hardcover books


y = 24 softcover books


I bought 24 softcover books.