3. In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer than Noah, and Noah scores three times as many points as Mai. If Mai scores 5 points, how many points did Elena score? Explain your reasoning.

To determine how many points Elena scored, let's break down the problem step by step using the information provided: 1. **Mai's Points:** - **Given:** Mai scores **5 points**. - **Notation:** Let \( M = 5 \). 2. **Noah's Points:** - **Relationship:** Noah scores **three times** as many points as Mai. - **Calculation:** \( N = 3 \times M \) - **Substitute:** \( N = 3 \times 5 = 15 \) points. 3. **Tyler's Points:** - **Relationship:** Tyler scores **four points fewer** than Noah. - **Calculation:** \( T = N - 4 \) - **Substitute:** \( T = 15 - 4 = 11 \) points. 4. **Elena's Points:** - **Relationship:** Elena scores **twice as many points** as Tyler. - **Calculation:** \( E = 2 \times T \) - **Substitute:** \( E = 2 \times 11 = 22 \) points. **Conclusion:** Elena scored **22 points** in the basketball game.