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Working her way through school, Kathy works two part-time jobs for a total of 33 33 hours a week. Job A pays $5.70 $ ⁢ 5.70 per hour, and Job B pays $7.00 $ ⁢ 7.00 per hour. How many hours did she work at each job the week that she made $211.50 $ ⁢ 211.50 ? (Round to two decimal places if necessary.)

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Answer:

Job A = 15 hours

Job B = 18 hours

Step-by-step explanation:

Total no. of hours = 33 hours

Job A pays = $5.70/hour

Job B pays = $7.00/hour

Total payout for the week = $211.50

Let A and B be the the hours worked in Job A and Job B respectively, Then;

A + B = 33 hours ---------------------------Equation 1

$5.70A + $7.00B = $211.50  -----------Equation 2

So from Equation 1, A = 33 - B

Lets put these values in Equation 2

=> 5.7(33 - B) + 7B = 211.50

=> 188.1 - 5.7B + 7B = 211.50

=> 1.3B = 23.4

=> B = 18 hours

Hence, A = 33 - 18

=> A = 15

Kathy will work 15 hours in Job A and 18 hours in Job B to make a total payout of $211.50 in a week.

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