Xavier works 20 hours each week at his part-time job. His manager has promised him a 15% pay raise starting next month. Once he receives his raise, Xavier will make $253 a week.
Which equation can you use to find Xavier's current hourly pay rate, x?
What is Xavier's current hourly pay rate?

To find Xavier's current hourly pay rate, we can set up an equation based on the information provided:

1. After the 15% pay raise, Xavier makes $253 per week.
2. Let $ x $ represent Xavier's current hourly pay rate.
3. Xavier works 20 hours per week.

Before the raise, his weekly earnings were $ 20x $ (since he worked 20 hours at a rate of $ x $ dollars per hour).

With a 15% pay raise, his new weekly earnings become:
\[
20x + 0.15(20x) = 253
\]
Simplifying:
\[
20x(1 + 0.15) = 253
\]
\[
20x(1.15) = 253
\]
Now, solve for $ x $:
\[
x = \frac{253}{20 \times 1.15} = \frac{253}{23}
\]
\[
x = 11
\]
So, Xavier's current hourly pay rate is **$11 per hour**.

### The equation you can use is:
\[
20x(1.15) = 253
\]

Would you like more details or have any questions?

### 5 Related Questions:
1. How would Xavier's weekly earnings change if he worked 25 hours instead of 20?
2. If Xavier received a 10% raise instead of 15%, what would his new weekly earnings be?
3. What if Xavier worked only 15 hours per week at his current hourly rate? What would his new weekly pay be after the 15% raise?
4. How much more would Xavier earn in a month (4 weeks) with the 15% pay raise?
5. How could you express his weekly pay in terms of a general percentage raise $ r $?

### Tip:
When working with percentage increases or decreases, multiply the original amount by $ (1 \pm \text{percentage in decimal form}) $.

Xavier works 20 hours each week at his part-time job. His manager has promised him a 15% pay raise starting next month. Once he receives his raise, Xavier will make $253 a week. Which equation can you use to find Xavier's current hourly pay rate, x? What is Xavier's current hourly pay rate?

Learn how to calculate Xavier's current hourly pay rate before a 15% raise, using algebraic equations and percentage increase concepts. This problem involves solving for the hourly rate based on weekly earnings after the raise. Suitable for students in Grades 6-8.

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