Two copies of the same hardcover book and 3 copies of the same
paperback book cost $118. Sally bought 3 of the hardcover books and
2 of the paperback books for $137. Find the cost for each type of book.​

Respuesta :

Answer:

Hardcover books cost 35 $ and paperback books cost 16$

Step-by-step explanation:

Lets call h = hardcover books , and p = paperback books

* 2 copies of the hardcover book "h" and 3 copies of the paperback book cost 118

2h + 3p = 118 (equation 1)

* 3 hardcover books and 2 paperback books cost 137

3h+2p=137 (equation 2)

we have two equations, lets  multiply as following

   3 ×(2h + 3p = 118)

(-2) ×(3h + 2p = 137)

6h + 9p = 354

-6h -  4p =-274

------------------------

0h + 5p = 80                then p=80/5, p=16

from equation 1, if p=40

2h + 3 × (16) = 118

2h + 48        = 118

2h = 118 - 48

2h = 7

h=35

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