How many paperback books did Gillian buy?

11

Gillian purchased 25 books at the library book sale. Each

hardcover book cost $1.50, and each paperback book cost

$0.50. Gillian spent a total of $26.50. The book costs can be

represented by the system of equations below.

h + p = 25

1.50h + 0.50p = 26.50

12

13

Gillian purchased 14 hardcover books and 11 paperback books.

Step-by-step explanation:

Gillian purchased 25 books at the library book sale.

If Gillian purchased h hardcover and p paperback books, then

h + p = 25 ... (1)

Each hardcover book costs $1.50, and each paperback book costs $0.50. Gillian spent a total of $26.50.

Hence, we can write

1.5h + 0.5p = 26.50 ... (2)

⇒ 3h + p = 53 ... (3)

Now, solving equations (1) and (3) we get,

3h - h = 53 - 25

⇒ 2h = 28

⇒ h = 14

Hence, from equation (1) we get, p = 25 - h = 25 - 14 = 11

Therefore, Gillian purchased 14 hardcover books and 11 paperback books. (Answer)

11 - A

Step-by-step explanation:

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