SOLUTION: Dan the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 5 clients who di
Question 1158544: Dan the trainer has two solo workout plans that he offers his 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 12 who did Plan B. Dan trained his Friday clients for a total of 7 hours and his Saturday clients for a total of 19 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) ? Found 2 solutions by Amily_2190, josgarithmetic:Answer by Amily_2190(27) (Show Source): You can put this solution on YOUR website! Lets say
Plan A= A
Plan B= B
Friday: 5 Plan A and 3 Plan B for a total of 7 hours
Saturday: 2 Plan A and 12 Plan B for a total of 12 hrs
Now we solve for each variable using elimination:
-Multiply the first equation by negative 4 to cancel out the positive 12 B in the second equation.
-4(5A+3B)=-4(7)
-20A-12B=-28
-20A-12B=-28
2A+12B=12
(Add equations)
-18A=-16
A=-16/-18=
Now we solve for B by substituting the value of A into one equation
2A+12B=12
2(8/9)+12B=12
(16/9)+12B=12
12B=92/9
B= Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
PLANS FRID SAT
qty rate qty rate
A 5 a 2 a
B 3 b 12 b
TOTALS 7 19
a, hours per client plan A
b, hours per client plan B