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

Question

3 years ago

8

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

Mathematics

2 answers:

Tom [10] · Answer 1 · 2021-12-30T11:41:53+03:00

Tom [10]3 years ago

6 0

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

snow_tiger [21] · Answer 2 · 2021-12-30T12:53:47+03:00

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