Question

You enroll in a book club in which you can earn bonus points to use toward 4 pointsthe purchase of books. Each paperback book you order costs $6.95 andearns you 2 bonus points. Each hardcover book costs $19.95 and earnsyou 4 bonus points. The first order you place comes to a total of $60.75and earns you a total of 14 bonus points. How many hard cover books didyou purchase? Enter your answer as a whole number

Answer 1

Cost of each paperbook = $6,95

bonus points earned =2

Cost of each hardcover book = $19.95

Bonus points earned = 4

Cost of order = $60.75

Total points earned = 14

Points:

2p + 4 h= 14

P= paper books

h= hardcover books

Money:

p6.95+h19.95 = 60.75

So, we have the system of equations:

2p + 4 h= 14

p6.95+h19.95 = 60.75

Solve for p the first equation:

2p+4h=14

2p=14-4h

p= (14-4h)/2

p= 7-2h

Replace p in the second equation:

p6.95+h19.95 = 60.75

(7-2h)6.95+h19.95=60.75

Solve for h:

48.65-13.9h+19.95h=60.75

-13.9h+19.95h=60.75-48.65

6.05h= 12.1

h= 12.1/6.05

h= 2

2 hardcover books