Help with my algebra

Question

Shen the trainer has two solo workout plans that he offers his clients. Plan A and plan B. Each client does one or the other not both. On Wednesday there were 3 clients who did plan a and 2 who did plan b. On Thursday there were 8 clients who did plan a and 4 who did plan B. She trained his Wednesday clients a total of 7 hours and his Thursday clients for a total of 17 hours. How Ling does each of the workout plans last?

Answer 1

Wednesday 3A +2B = 7

Thursday: 8A +4B = 17

multiply 1st equation by 2 and subtract result from 2nd equation

8A -6A = 17-14 = 3

2A = 3

A = 3/2 = 1.5 hours = 1 hour and 30 minutes for Plan A

B = (7-3(1.5))/2 = (7-4.5)/2 = 2.5/2 = 1.25 hours = 1 hours and 15 minutes for Plan B

check the answers

3(3/2) + 2(5/4) = 9/2 +5/2 = 14/2 = 7 hours on Wednesday

8(3/2) +4(5/4) = 12 +5 = 17 hours on Thursday