Bethany is working her way through school. She works two part-time jobs for a total of 26 hours a week. Job A pays $6.50 per hour, and Job B pays $6.60 per hour. How many hours did she work at each job the week that she made $170.00?

**x = hours worked at job A**

26 – x = hours worked at job B{a total of 26 hours for both jobs}

26 – x = hours worked at job B

6.5x + 6.6(26 – x) = 170 {$/hour times number of hours = total pay}

6.5x + 171.6 – 6.6x = 170 {distributive property}

-0.1x + 171.6 = 170 {combined like terms}

-0.1x = -1.6 {subtracted 171.6 from each side}

x = 16 {divided by -0.1}

26 – x {job B hours}

= 26 – 16 {substituted 16 for x}

= 10 {subtracted}

**16 hours at job A**

10 hours at job B

10 hours at job B

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