judy worked 8 hours and ben worked another 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 pay rate for each person.

Question

judy worked 8 hours and ben worked another 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 pay rate for each person.

Answer 1

8J + 10B = 80

9J +5B = 65

multiply by 2

18J + 10B = 130

subtract the 1st equation to eliminate one variable

leaving

18J-8J =130-80

10J = 50

J =50/10 = $5 per hour for Judy

B = (65-9(5))/5=13-9 = $4 per hour for Ben