When Brandon went bowling, it cost $4.95 per game, plus a one-time fee to rent the shoes. Brandon played 5 games and paid $32. Write and solve a linear equation to find the cost to rent the shoes. You must show ALL work to earn full credit.

Answer 1

To figure out the cost to rent the shoes, we can first define our variables and set up an equation based on the information provided.

Let:

• $x$ = cost to rent the shoes (in dollars)
• The cost to play one game of bowling = $4.95
• Number of games played = 5
• Total amount paid = $32

Now, we can set up the equation based on the total cost:

$$\text{Total Cost}=\text{Cost of Games}+\text{Cost of Shoe Rental}$$

Plugging in the known values:

$$32=(5\times 4.95)+x$$

Now we calculate $5\times 4.95$:

$$5\times 4.95=24.75$$

Now, substitute this back into the equation:

$$32=24.75+x$$

To find $x$, we need to isolate it. We can do this by subtracting $24.75$ from both sides of the equation:

$$x=32-24.75$$

Now calculate the right-hand side:

$$x=32-24.75=7.25$$

Thus, the cost to rent the shoes is:

$$\boxed{{\displaystyle 7.25}}$$

Summary of Work:

1. Defined variables and total cost equation.
2. Substituted the number of games and their cost.
3. Simplified to find the cost of shoe rental.