Answer :
Final answer:
Adam lifts weights for a total of 5.25 hours each week, combining his sessions of half and twice the duration relative to Ebony's sessions.
Explanation:
The question asks us to calculate how many hours Adam lifts weights each week given his varying session lengths. We are told that Adam lifts weights 1/2 as long as Ebony's 3/4 hours for 2 days a week and twice as long for 3 days a week. To calculate Adam's weekly hours spent lifting weights, we perform the following steps:
First, we figure out how long Adam lifts weights for the 2 days when he lifts for half as long as Ebony. Ebony lifts for 3/4 hours, so half of that is 3/4 x 1/2 = 3/8 hours. Since Adam does this for 2 days, we multiply 3/8 hours by 2, which is 3/8 x 2 = 6/8 or 3/4 hours.
Next, we calculate the time for the other 3 days when Adam lifts for twice as long. Twice of 3/4 hours is 3/4 x 2 = 6/4 hours or 1 1/2 hours. Adam does this for 3 days, so we multiply 1 1/2 hours by 3, which is 1 1/2 x 3 = 4 1/2 or 4.5 hours.
To find the total hours Adam spends lifting weights each week, we add the hours from both sets of days together. So, 3/4 hours + 4 1/2 hours = 5 1/4 or 5.25 hours total per week.
Therefore, Adam lifts weights for a total of 5.25 hours each week.
