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Working her way through school, Julie works two part-time jobs for a total of 37 hours a week. Job A pays $6.10 per hour, and Job B pays $6.60 per hour. How many hours did she work at each job the week that she made $234.20?

(Round to two decimal places if necessary.)

Answer :

Final answer:

Julie worked 15 hours at Job A and 22 hours at Job B in the week she made $234.20.

Explanation:

Let's assume Julie worked x hours at Job A and y hours at Job B. We know that she worked a total of 37 hours, so we can write the equation x + y = 37. We also know that Job A pays $6.10 per hour and Job B pays $6.60 per hour. Julie made a total of $234.20, so we can write another equation as 6.10x + 6.60y = 234.20. Now we can solve these equations simultaneously to find the values of x and y.

By substituting x = 37 - y into the second equation, we get 6.10(37 - y) + 6.60y = 234.20. Solving this equation, we find y = 22. Now substituting y = 22 into the first equation, we get x + 22 = 37. Solving for x, we find x = 15.

Therefore, Julie worked 15 hours at Job A and 22 hours at Job B in the week she made $234.20.

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