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The problem states that the ratio of hoodies to T-shirts in Amy's wardrobe is 7:6, and she has 21 hoodies. We are asked to find how many T-shirts she has.

### Step-by-step solution:

1. **Set up the ratio**:  
   The ratio of hoodies to T-shirts is given as \( 7:6 \). This means for every 7 hoodies, there are 6 T-shirts.

2. **Find the common ratio multiplier**:  
   Let \( x \) be the multiplier for both the number of hoodies and T-shirts. So, the number of hoodies is \( 7x \), and the number of T-shirts is \( 6x \).

3. **Use the given number of hoodies**:  
   We know Amy has 21 hoodies. This gives the equation:  
   \[
   7x = 21
   \]

4. **Solve for \( x \)**:  
   Divide both sides of the equation by 7:  
   \[
   x = \frac{21}{7} = 3
   \]

5. **Calculate the number of T-shirts**:  
   Since \( x = 3 \), the number of T-shirts is \( 6x \):  
   \[
   6x = 6 \times 3 = 18
   \]

So, Amy has **18 T-shirts**.

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Would you like more details on this solution or have any questions? Here are 5 related questions to explore:

1. If Amy had 35 hoodies, how many T-shirts would she have, assuming the same ratio?
2. What is the total number of hoodies and T-shirts in Amy's wardrobe?
3. How would the number of T-shirts change if the ratio became 5:6?
4. What would happen to the number of T-shirts if Amy's hoodies doubled, but the ratio remained 7:6?
5. Can you express the ratio of T-shirts to hoodies?

**Tip**: Always use ratios by setting them up as fractions, then solve for the unknown variable by finding the multiplier.

The ratio of hoodies to T-shirts in Amy's wardrobe is 7:6. There are 21 hoodies in her wardrobe. How many T-shirts are there?

Find how many T-shirts Amy has when the ratio of hoodies to T-shirts is 7:6, and there are 21 hoodies in her wardrobe. This problem covers ratios and proportions, making it suitable for students in Grades 6-8.

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