Pam has two part time jobs. at one job she works as a cashier and makes $8 per hour. at the second job she works as a tutor and makes $12 per hour. one week she worked 30 hours and made $268. how many hours did she spend at each job?

Cashier job: 23 hours

Tutor job: 7 hours

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

8 x + 12y = 268 ($8 per hour as a cashier. $12 per hour as a tutor. Made $268)

x + y = 30 (she worked 30 hours)

Where:

Solving for x in the second equation:

x = 30-y

Replacing the value of x in the first equation:

8 (30-y) +12y =268

240 -8y +12y =268

12y-8y=268-240

4y = 28

y= 28/4

y = 7  (hours spent at the second job)

Replacing the value of y in the second equation

x= 30-y

x = 30 -(7)

x =23  (hours spent at the first job)

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