Question

Julia spent $50 on a book. The cost of the book was $20 less than twice what she spent on a backpack. How much did the backpack cost?

Answer 1

By setting up an equation using the given information and solving for b, the cost of the backpack, we find that the backpack cost $35.

Step-by-step explanation:

To solve for the cost of the backpack, we can set up an equation based on the information given. Let's let b represent the cost of the backpack. According to the problem, the cost of the book is $20 less than twice the cost of the backpack, so we can express this as:

Book cost = 2b - $20

Since we know Julia spent $50 on the book, we can set up the following equation:

$50 = 2b - $20

Adding $20 to both sides gives us:

$70 = 2b

Dividing both sides by 2, we find the cost of the backpack:

$35 = b

Therefore, the backpack cost $35.

Answer 2

b=book
a=backpack

b=50
b=2a-20

50=2a-20

2a=75

a=37.5

it cost $37.5