Answer:
- Plan A: 0.5 hours
- Plan B: 1.5 hours
Explanation:
You want to know the time each of workouts A and B last if their combinations are ...
- 5A + 3B = 7 hours
- 2A + 12B = 19 hours
Solution
Subtracting the second equation from 4 times the first gives ...
4(5A +3B) -(2A +12B) = 4(7) -(19)
18A = 9 . . . . . . . . . simplify
A = 9/18 = 1/2
Using the second equation to find B, we have ...
2(1/2) +12B = 19
12B = 18
B = 18/12 = 3/2
Workout plan A lasts 1/2 hour; plan B lasts 1 1/2 hours.
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