Question

On Monday a student earned a total of $165 for 4 hours of babysitting and 3 hours of tutoring
On Tuesday she earned $115 for 3 hours babysitting and 2 hours tutoring
Which of the Evan be used to find x the students hourly wage for babysitting and y the students hourly wage for tutoring
3x + 2y = 165
4x + 3y = 115
4x + 3y = 165
3x + 2y = 115

Answer 1

To determine the hourly wages for babysitting (x) and tutoring (y), we can set up a system of equations based on the provided information.

On Monday, the student earned a total of $165 for 4 hours of babysitting and 3 hours of tutoring. This can be expressed with the equation:

\[
4x + 3y = 165
\]

On Tuesday, the student earned $115 for 3 hours of babysitting and 2 hours of tutoring. This can be expressed with the equation:

\[
3x + 2y = 115
\]

So, the correct equations to use are:

1. \( 4x + 3y = 165 \) (Monday's earnings)
2. \( 3x + 2y = 115 \) (Tuesday's earnings)

So, the answer is:

- **4x + 3y = 165**
- **3x + 2y = 115**

You should not use the other equations provided (i.e., \( 4x + 3y = 115 \) or \( 3x + 2y = 165 \)) as they do not correspond to the given scenarios.