Question

A bookstore is offering a 25% discount for a new book during a two-
week sale. After the sale, the book will sell for the regular price of
$32.00. The store has a total of 200 copies of the book.
If all of the copies of this book are sold, what is the number of
discounted books that the store sells to make a total of $5440.00?
40 discounted books
80 discounted books
120 discounted books
O
0 170 discounted books

Answer 1

Answer: It would be 0 170 discounted books.

Step-by-step explanation: Doing the calculations the only way they would be able to do this would be if there was no discount at all.

Answer 2

The number of discounted books that the store sells to make a total of $5440 is 120. Hence, option C is correct.

What is sale?

"Sale is a period during which a shop or dealer sells goods at reduced prices."

What is discount?

"Discount is known as deducted amount from the usual cost of some object."

Regular price of a book = $32

Total number of books = 200

Total amount after books got sold = $5440

Discount during sale = 25%

Let number of books sold at regular price = x

Let number of books sold at discounted price = y

Price of book after discount = 32 - (25% of 32) = 32 - 8 = 24

According to question

x + y = 200 ---------------- (1)

32x + 24y = 5440 ------------ (2)

From (1) x = 200 - y substitute in (2)

32 (200 - y) + 24y = 5440

6400 - 32y + 24y = 5440

6400 - 8y = 5440

8y = 960

y = 120

Hence, option C - 120 discounted books is the correct answer.

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