https://file.aiquickdraw.com/mathbot/file/1726103923303d52ghfq1.jpg

From the image, the problem involves Jasmine organizing a charity car wash. She will wash two types of vehicles: standard cars and SUVs. The prices for each wash are:

- $10 for a standard car wash
- $15 for an SUV wash

Jasmine's goal is to raise **$360**. She plans to wash **three times as many standard cars as SUVs**.

Let's break down and solve the problem.

### Part (a) - Writing the equation

Let:
- $ x $ be the number of SUVs she washes.
- Since she washes three times as many standard cars, the number of standard cars washed is $ 3x $.

The revenue from washing:
- $ 3x $ standard cars is $ 10 \times 3x = 30x $ dollars.
- $ x $ SUVs is $ 15 \times x = 15x $ dollars.

The total revenue is the sum of these two amounts, and we are given that the total should equal $360.

Thus, the equation is:
\[
30x + 15x = 360
\]

### Part (b) - Solving the equation

Now, let's solve the equation:
\[
45x = 360
\]
\[
x = \frac{360}{45} = 8
\]

So, Jasmine needs to wash **8 SUVs**.

Since she washes three times as many standard cars, the number of standard cars is:
\[
3 \times 8 = 24
\]

### Final Answer:
- Jasmine needs to wash **8 SUVs** and **24 standard cars**.

---

Would you like further clarification on any part? Here are five follow-up questions that can help expand your understanding:

1. How would the equation change if Jasmine washed twice as many standard cars as SUVs?
2. What if the price for washing an SUV was increased to $20? How would that affect the number of vehicles needed?
3. If Jasmine wanted to raise $500 instead, how many SUVs and standard cars would she need to wash?
4. How could Jasmine split the $360 goal between SUVs and standard cars differently while still meeting her goal?
5. What percentage of her revenue comes from washing SUVs versus standard cars?

Tip: When working on problems like these, always define your variables clearly and translate the word problem step-by-step into an equation.

Jasmine is organizing a charity car wash to support a local animal rescue organization. She plans to wash two types of vehicles: standard cars and SUVs. Each standard car wash is priced at $15 and each SUV wash is priced at $10. Jasmine's goal is to raise $360 from the car wash event. She plans to wash three times as many standard cars as SUVs.

Explore how Jasmine organizes a charity car wash to raise $360 by washing standard cars and SUVs with different prices. This problem helps understand linear equations and revenue calculation. Suitable for students in Grades 7-9.

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