Question

Marianne works two jobs fora total of 30 hours per week. One job pays $8 and the other job pays $10.50. If her weekly combined pay from the two jobs is $285, find the number of hours she worked for each job.

Answer 1

One job that pays $8 worked 12 hours.

Other job that pays $10.50 worked 18 hours.

Explanation:

x = hours worked at 8.00

y = hours worked at 10.50

x + y = 30

8x + 10.50y = 285

Solve the first equation for x.

x + y = 30

x = 30 - y

Substitute 30 - y for x in the second equation.

8x + 10.50y = 285

8(30 - y) + 10.50y = 285

240 - 8y + 10.50y = 285

-8y +10.50y = 285 - 240

2.5y = 45

y = 18

x = 30 - y or 30 - 18

x = 12

Check:

x + y = 30

18 + 12 = 30

30 = 30

8x + 10.50y = 285

8(12) + 10.50(18) = 285

96 + 189 = 285

285 = 285