https://file.aiquickdraw.com/mathbot/file/17267576164082gur688d.jpg

The problem in the image asks:

"For a charity event, 6 students crocheted 5 stuffed toys in 2 hours. Assuming that all students crochet at the same rate, how long will it take for 10 students to crochet 15 stuffed toys?"

### Solution:

We can solve this using the concept of rates of work. 

1. **Calculate the rate of 6 students:**

   The total rate of work for 6 students is:
   \[
   \frac{5 \text{ toys}}{2 \text{ hours}} = 2.5 \text{ toys per hour}.
   \]
   This is the collective rate of all 6 students together.

2. **Calculate the rate of 1 student:**

   The rate of 1 student will be:
   \[
   \frac{2.5 \text{ toys}}{6 \text{ students}} = \frac{5}{12} \text{ toys per hour per student}.
   \]

3. **Calculate the rate of 10 students:**

   If 1 student crochets at \(\frac{5}{12}\) toys per hour, 10 students will crochet at:
   \[
   10 \times \frac{5}{12} = \frac{50}{12} = \frac{25}{6} \text{ toys per hour}.
   \]

4. **Determine the time needed for 10 students to crochet 15 toys:**

   Now, to crochet 15 toys, the time taken by 10 students will be:
   \[
   \text{Time} = \frac{15 \text{ toys}}{\frac{25}{6} \text{ toys per hour}} = 15 \times \frac{6}{25} = \frac{90}{25} = 3.6 \text{ hours}.
   \]

Thus, it will take **3.6 hours** (or 3 hours and 36 minutes) for 10 students to crochet 15 toys.

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### Related Questions:
1. How long would it take for 8 students to crochet 20 stuffed toys?
2. If 12 students worked on 10 stuffed toys, how long would it take?
3. What is the time taken for 4 students to crochet 8 stuffed toys?
4. How many toys can 15 students crochet in 3 hours?
5. How much time will it take 6 students to crochet 10 toys?

### Tip:
When dealing with work-rate problems, always remember that the total work rate is additive when more workers are involved at the same rate!

For a charity event, 6 students crocheted 5 stuffed toys in 2 hours. Assuming that all students crochet at the same rate, how long will it take for 10 students to crochet 15 stuffed toys?

Learn how to solve a work-rate problem where 6 students crochet 5 stuffed toys in 2 hours. Find out how long it will take 10 students to crochet 15 toys using the concept of rates of work. Suitable for Grades 6-8.

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