Question

part a
julia spent $50 on a book. the cost of the book was $24 less than twice what she spent on a backpack. how much did the backpack cost?
express your answer numerically in dollars.
view available hint(s)

dollars

Explanation:

Step1: Define variable for backpack cost

Let $x$ = cost of backpack (dollars)

Step2: Set up equation from problem

Book cost = $2x - 24$, and book cost = $50$, so:
$2x - 24 = 50$

Step3: Isolate the term with $x$

Add 24 to both sides:
$2x = 50 + 24$
$2x = 74$

Step4: Solve for $x$

Divide both sides by 2:
$x = \frac{74}{2}$
$x = 37$

Answer:

37