Answer :
Final answer:
By calculating the area of the gym and dividing it by the area needed for 3 people, we find that 8,844 people can fit inside a gym with the given dimensions.
Explanation:
To calculate how many people can fit inside the gym, you need to determine the area of the gym and divide it by the area occupied by three people. First, convert the dimensions of the gym to a uniform unit of measurement and calculate its area. The gym has a length of 152 feet and a width of 97 feet, so its area in feet is given by 152 feet × 97 feet = 14,744 square feet. The sample space for 3 people is 24 inches by 2.5 feet. Since 1 foot is 12 inches, 24 inches is equal to 2 feet. Thus, the sample space area in feet is 2 feet × 2.5 feet = 5 square feet. Dividing the gym's area by the sample space area gives the number of groups of 3 people that can fit: 14,744 square feet ÷ 5 square feet per group = 2,948.8 groups.
Because we can't have a fraction of a group, we'll round down to 2,948 groups. Since each group represents 3 people, the total number of people that can fit in the gym is 2,948 groups × 3 people per group = 8,844 people.
Final answer:
To find the number of people that can fit inside the gym, calculate the area of the gym and divide it by the area of the sample space needed for each person. We can fit approximately 2948 people inside the gym.
Explanation:
To find the number of people that can fit inside the gym, we need to calculate the area of the gym and divide it by the area of the sample space needed for each person. The area of the gym is found by multiplying its length and width: 152 feet × 97 feet = 14,744 square feet. The area of the sample space is found by multiplying 24 inches (converted to feet) by 2.5 feet: (24 inches/12) feet × 2.5 feet = 5 square feet.
To find the number of people that can fit inside the gym, we divide the area of the gym by the area of the sample space: 14,744 square feet / 5 square feet = 2948.8 people. Since we can't have a fraction of a person, we round down to the nearest whole number, which means we can fit 2948 people inside the gym.
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