High School

Bethany is working her way through school. She works two part-time jobs for a total of 30 hours a week. Job A pays $5.90 per hour, and Job B pays $7.20 per hour. How many hours did she work at each job in the week she made $193.90?

Answer :

Final answer:

To find out how many hours Bethany worked at each job, we can set up a system of equations. Using the elimination method, we can determine that she worked approximately 17 hours at Job A and 13 hours at Job B.

Explanation:

To determine the number of hours Bethany worked at each job, we can set up a system of two equations. Let's assume she worked x hours at Job A and y hours at Job B. We know that x + y = 30 (total hours worked) and 5.90x + 7.20y = 193.90 (total earnings). To solve this system, we can use the substitution or elimination method. Let's use the elimination method:

  1. Multiply the first equation by 7.20 to make the coefficients of y the same: 7.20x + 7.20y = 216
  2. Subtract the second equation from the first to eliminate y: 7.20x - 5.90x = 216 - 193.90
  3. Solve for x: 1.30x = 22.10, x = 22.10/1.30
  4. Substitute the value of x back into the first equation to find y: (22.10/1.30) + y = 30, y = 30 - (22.10/1.30)

Therefore, Bethany worked approximately x = 17 hours at Job A and y = 13 hours at Job B.

Learn more about Solving Systems of Equations here:

https://brainly.com/question/29050831

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Answer:

Job A=40 hours=73.50 job=B=50hours=120.40

Step-by-step explanation:


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