https://file.aiquickdraw.com/mathbot/file/1726411280899rzh4smje.jpg

The problem in the image states:

- The ratio of T-shirts to dresses in Amina's wardrobe is 7:6.
- There are 28 T-shirts in her wardrobe.
- The question asks: How many dresses are there?

### Solution:

The ratio of T-shirts to dresses is given as 7:6, which means for every 7 T-shirts, there are 6 dresses.

1. Let the number of dresses be \( d \).
2. The ratio can be written as:
   \[
   \frac{\text{T-shirts}}{\text{Dresses}} = \frac{7}{6}
   \]
3. Given that the number of T-shirts is 28, we set up the proportion:
   \[
   \frac{28}{d} = \frac{7}{6}
   \]
4. Cross-multiply to solve for \( d \):
   \[
   7d = 28 \times 6
   \]
   \[
   7d = 168
   \]
   \[
   d = \frac{168}{7} = 24
   \]

### Conclusion:
Amina has 24 dresses in her wardrobe.

Would you like any further details on this, or do you have any questions?

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Here are 5 related questions:
1. If Amina had 35 T-shirts, how many dresses would she have based on the same ratio?
2. What is the total number of T-shirts and dresses in Amina's wardrobe?
3. If the ratio were 7:5 instead of 7:6, how many dresses would Amina have with 28 T-shirts?
4. How would the ratio change if Amina had 42 T-shirts and 36 dresses?
5. What if Amina buys 10 more dresses? What would the new ratio of T-shirts to dresses be?

### Tip:
When dealing with ratios, setting up a proportion is the key to solving for unknown values. Always ensure the units are consistent throughout the equation.

The ratio of T-shirts to dresses in Amina's wardrobe is 7:6. There are 28 T-shirts in her wardrobe. How many dresses are there?

Learn how to solve a ratio problem where the ratio of T-shirts to dresses in Amina's wardrobe is 7:6. Given that Amina has 28 T-shirts, find out how many dresses she has using proportion methods. This problem involves ratios and basic algebra, suitable for students in Grades 6-8.

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