# 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?

2 months ago

## Solution 1

Guest #7935963
2 months ago

it is given that the cost of the book was \$20 less than twice what she spent on a backpack, this implies that:

Cost of book = (2*cost of backpack)-20--------------> [1]

Since, she spent \$50 on the book, thus cost of the book =\$50

If we substitute this in [1]

50 =( 2*cost of backpack)-20

Rearranging the terms,

50 + 20 = 2*cost of backpack

=> 70 = 2*cost of backpack

=> 70/2 = cost of backpack

=> 35 = cost of backpack

• Thus, the cost of the backpack was \$35.

Guest #7935964
2 months ago
B=book
a=backpack

b=50
b=2a-20

50=2a-20

2a=75

a=37.5

it cost \$37.5

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