Answered

Join the IDNLearn.com community and start finding the answers you need today. Join our interactive community and get comprehensive, reliable answers to all your questions.

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

Sagot :

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

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.