A contractor employed 5 adults and 3 teenagers for one day and paid them a total of $224 per hour. The following day she employed 3 adults and 5 teenagers for a total of $160 per hour. What was the hourly rate paid to each adult and teenager? (Assume that all the adults are paid the same rate and all the teenagers are paid the same rate.)
Answers
Given : A contractor employed 5 adults and 3 teenagers for one day and paid them a total of $224 per hour.
The following day she employed 3 adults and 5 teenagers for a total of $160 per hour.
To Find : What was the hourly rate paid to each adult and teenager
Solution:
Adult Rate per hour = A $
Teenager rate per hour = T $
5 adults and 3 teenagers for one day paid them a total of $224 per hour
5A + 3T = 8 * 224
3 adults and 5 teenagers for one day paid them a total of $160 per hour
3A + 5T = 8 * 160
Adding both
=> 8A + 8T = 8 * 224 + 8 * 160
=> A + T = 384
2A - 2T = 8(64)
=> A - T = 256
2A = 640
=> A = 320
T = 64
hourly rate paid to each adult = 320 $
hourly rate paid to each teenager = 64 $
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