SOLUTION: Deshaun 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 Wednesday there were 8 clients
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Question 1167970: Deshaun 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 Wednesday there were 8 clients who did Plan A and 4 who did Plan B. On Thursday there were 3 clients who did Plan A and 2 who did Plan B. Deshaun trained his Wednesday clients for a total of 9 hours and his Thursday clients for a total of 4 hours. How long does each of the workout plans last?
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Deshaun 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 Wednesday there were 8 clients who did Plan A and 4 who did Plan B.
On Thursday there were 3 clients who did Plan A and 2 who did Plan B.
Deshaun trained his Wednesday clients for a total of 9 hours
and his Thursday clients for a total of 4 hours.
How long does each of the workout plans last?
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'a' hours for plan A and 'b' hours for plan B.
Write equations as you read the problem
8a + 4b = 9 hours (1) (Wednesday)
3a + 2b = 4 hours (2) (Thursday)
Solve this system of two linear equations by the Elimination method.
Multiply equation (2) by 2 and subtract from equation (1). You will get
8a - 6a = 9 - 2*4
2a = 1
a = 1/2 of an hour.
Then from equation (1)
8* + 4b = 9 ---> 4 + 4b = 9 ---> 4b = 9-4 = 5 ---> b = 5/4 = 1 of an hour.
ANSWER. Plan A is 1/2 of an hour long. Plan B is 1 hours long.
Solved.
Was solved at this forum, probably, 17 times under different names of trainers and different input numbers.
