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.

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UpStudy AI · Accepted Answer

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:** $$ N = 3 	imes M $$
   - **Substitute:** $$ N = 3 	imes 5 = 15 $$ 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:** $$ E = 2 	imes T $$
   - **Substitute:** $$ E = 2 	imes 11 = 22 $$ points.

**Conclusion:** Elena scored **22 points** in the basketball game.
Elena scored 22 points.

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.

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