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The problem given can be broken down as follows:

**Problem Summary:**
Jasmine is washing two types of vehicles:
- Standard car wash costs **$10**
- SUV wash costs **$15**
  
Jasmine’s goal is to raise **$375**, and she plans to wash **three times as many standard cars as SUVs**.

---

**Part a: Write an equation that represents the total revenue from washing the standard cars and SUVs.**

Let:
- $ x $ be the number of SUVs Jasmine plans to wash.
- Since Jasmine plans to wash three times as many standard cars as SUVs, the number of standard cars will be $ 3x $.

The total revenue will be the sum of the revenue from standard cars and SUVs:
\[
\text{Revenue} = 10 \times 3x + 15 \times x
\]
Simplifying:
\[
\text{Revenue} = 30x + 15x = 45x
\]

Since Jasmine’s goal is to raise $375, the equation is:
\[
45x = 375
\]

---

**Part b: Determine how many standard cars and SUVs Jasmine needs to wash to meet her fundraising goal of $375.**

We now solve for $ x $ in the equation $ 45x = 375 $:
\[
x = \frac{375}{45} = 8.33
\]
Since the number of SUVs must be a whole number, let’s round $ x $ to 8. Thus, Jasmine needs to wash **8 SUVs**.

The number of standard cars will be $ 3x = 3 \times 8 = 24 $.

---

So, Jasmine needs to wash **8 SUVs** and **24 standard cars** to meet her goal of raising $375.

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Would you like any further details or have any questions about this? Here are some related questions to deepen your understanding:

1. What would happen to the number of cars needed if Jasmine’s goal increased to $450?
2. How would the solution change if SUV washes were priced at $20 instead of $15?
3. If Jasmine could only wash 20 standard cars, how many SUVs would she need to wash to reach $375?
4. How can we adjust the equation if Jasmine wanted to wash twice as many standard cars as SUVs?
5. If Jasmine earns a tip of $5 per vehicle, how many vehicles would she need to wash to reach the same goal?

**Tip:** Always double-check the final solution to ensure that rounding or approximations do not impact the accuracy of your answer!

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 $10, and each SUV wash is priced at $15. Jasmine's goal is to raise $375 from the car wash event. She plans to wash three times as many standard cars as SUVs. 
a) Write an equation that represents the total revenue from washing the standard cars and SUVs. 
b) Determine how many standard cars and SUVs Jasmine needs to wash to meet her fundraising goal of $375.

Learn how to solve a real-world word problem involving linear equations with Jasmine's charity car wash. The problem includes calculating the revenue from washing standard cars and SUVs to meet a fundraising goal of $375. Suitable for Grades 8-10.

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