Question

Lizzie buys 8 books and pays with a $50 dallor bill.
Alex buys 3 books and pays with a $20 dallor bill.
Lizzie and Alex both get the same amount of change. How much dose one book cost?

Answer 1

The cost of one book is $6.

Step-by-step explanation:

Given,

Lizzie paid for 8 books = $50 bill

Alex paid for 3 books = $20 bill

As the both received same change.

Let,

x represent cost of one book.

y represent the change received.

According to given statement;

50-8x=y    Eqn 1

20-3x=y    Eqn 2

Putting value of y from Eqn 1 in Eqn 2

$20-3x=50-8x\\-3x+8x=50-20\\5x=30$

Dividing both sides by 5

$\frac{5x}{5}=\frac{30}{5}\\x=6$

The cost of one book is $6.

Keywords: linear equation, substitution method

Learn more about substitution method at:

• brainly.com/question/10699220
• brainly.com/question/10703930

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