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:
- Multiply the first equation by 7.20 to make the coefficients of y the same: 7.20x + 7.20y = 216
- Subtract the second equation from the first to eliminate y: 7.20x - 5.90x = 216 - 193.90
- Solve for x: 1.30x = 22.10, x = 22.10/1.30
- 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: