Kaitlin 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 Monday there were 5 clients who did Plan A and 2 who did Plan B. On Tuesday there were 3 clients who did Plan A and 8 who did Plan B. Kaitlin trained her Monday clients for a total of 6 hours and her Tuesday clients for a total of 7 hours. How long does each of the workout plans last?

Length of each plan A workout: - hour (s)

Length of each plan B workout: - hour (s)

Question

Mathematics

Zachariah

12 December, 23:27

Kaitlin 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 Monday there were 5 clients who did Plan A and 2 who did Plan B. On Tuesday there were 3 clients who did Plan A and 8 who did Plan B. Kaitlin trained her Monday clients for a total of 6 hours and her Tuesday clients for a total of 7 hours. How long does each of the workout plans last?

Length of each plan A workout: - hour (s)

Length of each plan B workout: - hour (s)

+4

Answers (1)

Know the Answer?

Dillan Carlson · Answer 1

Write 2 equations:

Monday: 5A + 2B = 6 hours

Tuesday: 3A + 8B = 7 hours

Multiply Monday by - 4:

Monday: - 20A - 8B = - 24

Now add Monday and Tuesday together:

-17A = - 17 hours

Divide both sides by - 17

A = - 17 / - 17 = 1

Plan A is 1 hour long.

Now replace A in Monday with 1 and solve for B:

5 (1) + 2B = 6

5 + 2B = 6

Subtract 5 from both sides:

2B = 1

Divide both sides by 2:

B = 1/2

Plan A is 1 hour, Plan B is 1/2 hour.