She worked 20 hours in job A and 17 hours in Job B
Step-by-step explanation:
The given is:
Julie works two part-time jobs for a total of 37 hours a week
Job A pays $6.50 per hour, and Job B pays $7.40 per hour
She made $255.8 in this week
Assume that she worked x hours in job A and y hours in job B
∵ She worked x hours in job A
∵ She worked y hours in job B
∵ She worked a total of 37 hours in this week
∴ x + y = 37 ⇒ (1)
∵ Job A pays $6.5 per hour
∵ Job B pays $7.4 per hour
∵ She made $255.8 in this week
∴ 6.5x + 7.4y = 255.8 ⇒ (2)
Multiply equation (1) by -7.4 to eliminate y
∴ -7.4x - 7.4y = -273.8 ⇒ (3)
- Add equations (2) and (3)
∴ -0.9x = -18
- Divide both sides by -0.9
∴ x = 20
Substitute x by 20 in equation (1) to find y
∵ 20 + y = 37
- Subtract 20 from both sides
∴ y = 17
She worked 20 hours in job A and 17 hours in Job B
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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