Question

Alana and Petra go to a used book sale, where every book is the same price. Alana buys 4 books and Petra buys 2 books. They run into their friend Angus, who really loves to read, and discover that he has bought 16 books. Angus received a $15 discount, but he still spent $5 more than Alana and Petra combined. How much does one book cost?
$2.00


$24.50


$1.00


$2.50

Answer 1

2 dollars per book
..........

Answer 2

Answer: A book cost $2.00

Step-by-step explanation: Given the no of books purchased by

Alana =4          Petra =2       Angus = 16

So

The total price of 4 books of Alana =4x$

Total price for Petra = 2x$

Total price of Alana and Petra =4x+2x

=6x$

Total price for Angus = 16x$

But given Angus received a discount  of $15

So price post discount = 16x- 15

According to the question

16x-15 = 6x +5

Adding 15 both sides

16x +15-15 = 6x + 5+15

16x= 6x+20

Subtracting 6x both sides

16x - 6x = 6x - 6x + 20

10x = 20

i.e x=2

Cost of one book = $2