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To solve this problem, we need to determine the number of strikes that Elizabeth had, given that Shirley and Ruby had the same number of strikes.

### Step 1: Set Up Equations
According to the table:

- Shirley's strikes = \( 3x - 1 \)
- Ruby's strikes = \( 4x - 2 \)
- Elizabeth's strikes = \( x \)

The problem states that Shirley and Ruby had the same number of strikes. Therefore, we can set their equations equal to each other:

\[
3x - 1 = 4x - 2
\]

### Step 2: Solve for \( x \)
Next, we'll solve for \( x \) by isolating the variable.

1. Subtract \( 3x \) from both sides:
\[
-1 = x - 2
\]

2. Add 2 to both sides:
\[
1 = x
\]

So, \( x = 1 \).

### Step 3: Determine Elizabeth's Strikes
Elizabeth's number of strikes is represented by \( x \). Since \( x = 1 \), Elizabeth had 1 strike.

### Conclusion
Elizabeth had 1 strike.

Would you like more details or have any questions?

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### Additional Questions:
1. If Shirley had 8 strikes, how many strikes did Ruby have?
2. If Ruby had 10 strikes, what is the value of \( x \)?
3. How many total strikes did all three players have together?
4. What would happen if Shirley had 5 more strikes than Ruby instead of the same number?
5. How would the equation change if Elizabeth had twice as many strikes as Shirley?

### Tip:
When solving equations with variables, always check your solution by substituting it back into the original equation to ensure it satisfies the conditions.

The table shows the number of strikes made by three players during a game of bowling. If Shirley and Ruby had the same number of strikes, how many strikes did Elizabeth have?

Solve this algebraic equation problem where Shirley and Ruby have the same number of strikes in a bowling game. Learn step-by-step how to find out how many strikes Elizabeth had. This problem is ideal for students in Grades 7-9.

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