At the bowling alley, David paid $

Question

12
12 and bowled 3 games while Jennifer bowled 2 games and paid $
9
9. Both of the prices include the price of renting shoes. Click Here for Help Video

The cost per game is $
.

The initial shoe rental cost is is $

Answer 1

To find the cost per game and the initial shoe rental cost, we can set up a system of equations based on the information given.

Let:

• \( x \) = cost per game
• \( y \) = initial shoe rental cost

From the information provided:

1. For David: \[ 3x + y = 12 \]

2. For Jennifer: \[ 2x + y = 9 \]

Now, we can solve these two equations.

Step 1: Subtract the second equation from the first

\[ (3x + y) - (2x + y) = 12 - 9 \] This simplifies to: \[ x = 3 \]

Step 2: Substitute \( x \) into one of the equations to find \( y \)

Substituting \( x = 3 \) into the second equation: \[ 2(3) + y = 9 \] \[ 6 + y = 9 \] \[ y = 3 \]

Summary of Results

• The cost per game, \( x \), is \( 3 \) dollars.
• The initial shoe rental cost, \( y \), is \( 3 \) dollars.

Thus, the final answers are:

• The cost per game is $3.
• The initial shoe rental cost is $3.