SOLUTION: Charmaine 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

Algebra ->  Linear-equations -> SOLUTION: Charmaine 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      Log On


   

Question 1155891: Charmaine 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 3 who did Plan B. On Tuesday there were 2 clients who did Plan A and 12 who did Plan B. Charmaine trained her Monday clients for a total of 9 hours and her Tuesday clients for a total of 9 hours. How long does each of the workout plans last?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = hrs/client for plan A
Let +b+ = hrs/client for plan B
Add up total hrs for Monday
(1) +5a+%2B+3b+=+9+
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Add up total hrs for Tuesday
(2) +2a+%2B+12b+=+9+
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Multiply both sides of (1) by +4+ and
subtract (2) from (1)
(1) +20a+%2B+12b+=+36+
(2) +-2a+-+12b+=+-9+
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+18a+=+27+
+a+=+3%2F2+
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(1) +5%2A%283%2F2%29+%2B+3b+=+9+
(1) +15%2F2+%2B+3b+=+18%2F2+
(1) +3b+=+3%2F2+
(1) +b+=+1%2F2+
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Plan A lasts 1.5 hrs
Plan B lasts .5 hrs
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check the math