Linda the trainer

Question

Linda the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 5

 clients who did Plan A and 3

 who did Plan B. On Saturday there were 2

 clients who did Plan A and 6

 who did Plan B. Linda trained her Friday clients for a total of 10

 hours and her Saturday clients for a total of 10

 hours. How long does each of the workout plans last?

Answer 1

You get simultaneous equations in t_a and t_b

Friday: 5t_a + 3t_b = 10

Saturday: 2t_a + 6t_b = 10

You can multiply the first equation by -2 and add them to get

-8t_a = -10 and t_a = 5/4 Sub into either equation and solve for t_b = 5/4

or 1hr 15 min each

Please consider a tutor. Take care