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 $170.00?
x = hours worked at job A {a total of 26 hours for both jobs}26 – x = hours worked at job B 6.5x + 6.6(26 – x) = 170 {$/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 Ask the House
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