1. The problem states Lisa has played in 6 soccer matches and Josh has played in 18 matches. Lisa claims Josh played 12 times as many matches as she has. 2. To check Lisa's statement, we use the formula for "times as many": $$\text{Josh's matches} = \text{Lisa's matches} \times k$$ where $k$ is the multiplier. 3. Substitute the known values: $$18 = 6 \times k$$ 4. Solve for $k$ by dividing both sides by 6: $$\frac{18}{\cancel{6}} = \cancel{6} \times k \div 6 \Rightarrow 3 = k$$ 5. This means Josh has played 3 times as many matches as Lisa, not 12 times. 6. Lisa's statement is incorrect because she said 12 times instead of 3 times. 7. The correct equation is "multiplied by 3" times as many matches. 8. So, Josh has played 3 times as many games as Lisa. Summary of dropdown choices: - First: "divided by" 6 is equal to 18 (incorrect) - Correct: "multiplied by" 3 times as - Josh has played 3 times as many games as Lisa.