Judy worked 8 hours and Ben worked 10 hours. Their combined pay was 80. when judy worked 9 hours and Ben worked 5 hours, their combined pay was 65. Find the hourly rate of pay for each person.

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Answered on Sat May 28 2022

Let hourly rate of pay for judy be x

And, hourly rate of pay for ben be y

Then, according to question

8x + 10y = 80 …1

9x + 5y = 65 …2

Now, Multiplying equation 2 by 2 , we get

18x + 10y = 130 …3

Subtracting equation 1 from 3, we get

18x + 10y - (8x + 10y) = 130 - 80

18x + 10y - 8x - 10y = 50

10x = 50

x = 50/10

x = 5

Now, putting value of x in equation 1, we get

8(5) + 10y = 80

40 + 10y = 80

10y = 80 - 40

10y = 40

y = 40/10

y = 4

Thus, hourly rate of pay for Judy and Ben is 5 and 4 respectively.