Question

At the bowling alley, David paid $
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**.