grneyedflgirl
contestada

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)

Respuesta :

musiclover10045

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.

Otras preguntas