https://file.aiquickdraw.com/mathbot/file/1726709034663lqm7y4vd.jpg

The problem in the image states:

- Rick and Kate are making 120 hats for the fair.
- Kate has made \( \frac{1}{4} \) of the hats.
- Rick has made \( \frac{2}{3} \) of the hats.
  
We are asked to find out **how many hats they have left to make**.

### Solution:

1. **Kate's contribution:**
   - Kate has made \( \frac{1}{4} \) of the total hats.
   - So, the number of hats Kate has made is:
     \[
     \frac{1}{4} \times 120 = 30 \text{ hats}.
     \]

2. **Rick's contribution:**
   - Rick has made \( \frac{2}{3} \) of the total hats.
   - So, the number of hats Rick has made is:
     \[
     \frac{2}{3} \times 120 = 80 \text{ hats}.
     \]

3. **Total hats made by Rick and Kate:**
   - Adding their contributions:
     \[
     30 \text{ (Kate's hats)} + 80 \text{ (Rick's hats)} = 110 \text{ hats}.
     \]

4. **Hats left to make:**
   - The total number of hats is 120, and they have made 110 hats so far. Therefore, the number of hats left to make is:
     \[
     120 - 110 = 10 \text{ hats}.
     \]

### Final Answer:
They have **10 hats** left to make.

Would you like further details or have any questions?

Here are 5 related questions you could explore:
1. If Kate had made \( \frac{1}{3} \) of the hats, how many would she have made?
2. What fraction of the total hats is still left for them to make?
3. How many more hats has Rick made compared to Kate?
4. If Rick and Kate decide to divide the remaining hats equally, how many will each person make?
5. If Rick could make hats twice as fast as Kate, how long would it take both of them to finish the remaining hats?

**Tip:** Always check if the total of individual contributions matches the problem's total, to ensure correctness in word problems involving fractions.

Rick and Kate are making 120 hats for the fair. Kate has made 1/4 of the hats, and Rick has made 2/3 of the hats. How many hats do they have left to make?

Solve the problem where Rick and Kate are making 120 hats for the fair. Kate has made 1/4 and Rick has made 2/3 of the hats. Learn how to calculate how many hats they have left to make, using fraction operations. Suitable for Grades 5-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation