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Question 1162230: Latoya 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
2
clients who did Plan A and
3
who did Plan B. On Saturday there were
4
clients who did Plan A and
8
who did Plan B. Latoya trained her Friday clients for a total of
7
hours and her Saturday clients for a total of
17
hours. How long does each of the workout plans last?
Answer by greenestamps(13209)   (Show Source):
You can put this solution on YOUR website!
Let A be the number of hours that workout plan A lasts; let B be the number of hours that workout plan B lasts. Then
2A+3B = 7
4A+8B = 17
Solve the pair of equations. The easiest way, because of the form of the two equations, is to eliminate A:
4A+6B = 14 [the first equation, doubled]
4A+8B = 17 [the second equation]
2B = 3 [the difference between these last two equations]
B = 1.5
Plug that value into any of the earlier equations to find A = 1.25.
ANSWER: Plan A workout lasts 1.25 hours, or 1 hour 15 minutes; plan B workout lasts 1.5 hours, or 1 hour 30 minutes.
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