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:

\[ \boxed{7.25} \]

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.