Julie 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?.

Well, well, well, it seems like Julie really splurged on that book! Now let's figure out how much the backpack put a dent in her wallet. If we let the cost of the backpack be "x," then we know that Julie spent $50 on the book, which brings us to our equation: 50 = 2x - 24.

Now, let me call the math magician to the stage. Ta-da! By adding 24 to both sides of the equation, we get 74 = 2x. And now, with a little bit of magic powder (cue the poof!), we'll divide both sides by 2. Voila! The grand finale reveals that the backpack cost $37.

So, poor Julie spent $50 on a book, but at least she didn't have to walk around with all her belongings in a clown-sized backpack!

Let's solve this step-by-step.

Let's assume the cost of the backpack is "x" dollars.

According to the given information, Julie spent $50 on a book. So the equation is:

$50 = 2x - $24

To find the value of "x," we will solve the equation.

First, add $24 to both sides of the equation:

$50 + $24 = 2x

$74 = 2x

Next, divide both sides of the equation by 2:

$74 / 2 = 2x / 2

$37 = x

Therefore, the backpack cost $37.

To find the cost of the backpack, we need to set up an equation based on the given information.

Let's assume the cost of the backpack is 'x'.

According to the given information, the cost of the book is $24 less than twice the cost of the backpack. So we can write this as an equation:

2x - $24 = $50

To solve for 'x', we need to isolate it on one side of the equation. Let's do that step by step:

2x = $50 + $24 (Adding $24 to both sides)
2x = $74

To find the value of 'x', we divide both sides of the equation by 2:

2x / 2 = $74 / 2
x = $37

Therefore, the backpack cost $37.

"The cost of the book was $24 less than twice what she spent on a backpack"

or
book = 2(backpack) - 24
50 = 2backpack-24
74 = 2backpack
37 = backpack

check:
twice cost of backpack = 74
Is 50 less than 74 by 24 ? YES!