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Answer :
Answer: 5
Work Shown:
g = number of hours that Gary exercises
3g-2 = number of hours that Jessica exercises
(g) + (3g-2) = 18
4g-2 = 18
4g = 18+2
4g = 20
g = 20/4
g = 5
Gary exercises 5 hours per week.
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Final answer:
Gary exercises 5 hours per week.
Explanation:
Let's assume that Gary exercises x hours per week. According to the question, Jessica exercises 2 less than 3 times the hours that Gary exercises. Therefore, Jessica exercises 3x - 2 hours per week. Since Gary and Jessica exercise for a total of 18 hours per week, we can set up the equation: x + (3x - 2) = 18.
Simplifying the equation, we get 4x - 2 = 18.
Adding 2 to both sides of the equation, we get 4x = 20.
So, x = 20 / 4 = 5.
Therefore, Gary exercises 5 hours per week.
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