High School

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Working her way through school, Julie works two part-time jobs for a total of 29 hours a week. Job A pays $6.00 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $193.80? (Round to two decimal places if necessary.)

Answer :

Final answer:

Julie worked approximately 16 hours at her $6 per hour job (Job A) and 13 hours at her $7.10 per hour job (Job B) to earn a total of $193.80 across 29 hours of work in one week.

Explanation:

This is a personnel finance problem that can be solved using algebra, specifically systems of equations.

We know Julie's total earnings for the week ($193.80) and the total hours she worked (29).

We also know she earning $6 at Job A and $7.10 at Job B.

Let's denote A as the number of hours she worked at Job A and B as the number of hours at Job B.

Here are two equations based on the information:

1) A + B = 29 (This is based on the total hours worked.)

2) 6A + 7.10B = 193.80 (This is based on her total earnings.)

We can solve these equations simultaneously to find the values of A and B, which represent hours worked at each job.

Solve equation 1 for A gives A = 29 - B then substitute into equation 2 gives:

6*(29 - B) + 7.10B = 193.80.

Solving for B, we get approximately 12.92 hours for job B. Substituting B into equation 1, we get A = 29 - 12.92

= 16.08 hours for job A.

So, rounding to the nearest full hour, Julie worked approximately 16 hours at Job A and 13 hours at Job B that week.

Learn more about Systems of Equations here:

https://brainly.com/question/35467992

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