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During his 12 minute exercise session, B...

During his 12 minute exercise session, Brain spent 35% of his time doing sit ups. How many seconds of Brain's exercise session were spent doing sit-ups?

A

`4.2`

B

`35`

C

`252`

D

`720`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine how many seconds Brian spent doing sit-ups during his 12-minute exercise session, where he spent 35% of that time on sit-ups. ### Step-by-step Solution: 1. **Convert minutes to seconds**: - We know that 1 minute is equal to 60 seconds. Therefore, to convert 12 minutes into seconds, we multiply: \[ 12 \text{ minutes} \times 60 \text{ seconds/minute} = 720 \text{ seconds} \] 2. **Calculate 35% of the total seconds**: - To find out how many seconds Brian spent doing sit-ups, we need to calculate 35% of 720 seconds. The formula for finding a percentage of a value is: \[ \text{Percentage} = \left(\frac{\text{Percentage value}}{100}\right) \times \text{Total value} \] - Here, the percentage value is 35, and the total value is 720 seconds. Thus, we calculate: \[ 35\% \text{ of } 720 = \left(\frac{35}{100}\right) \times 720 \] 3. **Perform the multiplication**: - First, multiply 720 by 35: \[ 720 \times 35 = 25200 \] - Now, divide by 100 to get the percentage: \[ \frac{25200}{100} = 252 \text{ seconds} \] ### Final Answer: Brian spent **252 seconds** doing sit-ups during his exercise session. ---
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