https://file.aiquickdraw.com/mathbot/file/17267094279235qpzn77y.jpg

The question asks: 

"Toby washed \( \frac{1}{3} \) of the cars on the lot, and Billy washed half of the remaining cars. What fraction of the cars are unwashed?"

### Step-by-step solution:

1. Let the total number of cars be \( x \).
   
2. **Toby washed \( \frac{1}{3} \) of the cars:**
   \[
   \text{Cars washed by Toby} = \frac{1}{3}x
   \]
   The remaining cars after Toby's wash:
   \[
   \text{Remaining cars} = x - \frac{1}{3}x = \frac{2}{3}x
   \]

3. **Billy washed half of the remaining cars:**
   \[
   \text{Cars washed by Billy} = \frac{1}{2} \times \frac{2}{3}x = \frac{1}{3}x
   \]

4. **Total cars washed:**
   \[
   \text{Total washed} = \frac{1}{3}x \text{ (Toby)} + \frac{1}{3}x \text{ (Billy)} = \frac{2}{3}x
   \]

5. **Fraction of unwashed cars:**
   The remaining unwashed cars are:
   \[
   \text{Unwashed cars} = x - \frac{2}{3}x = \frac{1}{3}x
   \]
   So, the fraction of cars that are unwashed is \( \frac{1}{3} \).

### Final Answer:
The fraction of cars that are unwashed is \( \frac{1}{3} \).

---

Would you like more details or have any questions about the solution?

### Related Questions:
1. If there were 90 cars on the lot, how many cars were left unwashed?
2. What fraction of the cars did Billy and Toby together wash?
3. If Toby washed \( \frac{1}{2} \) of the cars instead of \( \frac{1}{3} \), what fraction would be left unwashed?
4. How many cars would be left unwashed if there were 120 cars on the lot?
5. If Billy washed a different fraction of the remaining cars, how would this affect the fraction unwashed?

### Tip:
When solving word problems, defining the total amount (like \( x \)) is helpful for organizing and simplifying the problem step-by-step.

Toby washed 1/3 of the cars on the lot and Billy washed half of the remaining cars. What fraction of the cars are unwashed?

Solve this fraction word problem where Toby washes 1/3 of the cars, and Billy washes half of the remaining cars. Learn the step-by-step solution to determine what fraction of cars are left unwashed. Suitable for Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation