Of the 40 students in a gym class, 13 played volleyball, 12 ran track (4 of whom did a push up), and the remainder were absent.
A.) What proportion of the class ran track?
B.) What percentage played volleyball?
C.) What percentage of the runners did a push up?
D.) What proportion of the class was absent?
A) 12/40
B) 13/40 * 100
C) 4/12 * 100
D) (40-13-12)/40
A.) The proportion of the class that ran track can be calculated by dividing the number of students who ran track by the total number of students: 12/40 = 0.3, or 30%.
B.) To find the percentage that played volleyball, divide the number of students who played volleyball by the total number of students and multiply by 100: 13/40 * 100 = 32.5%. So, 32.5% of the students played volleyball.
C.) The percentage of the runners who did a push-up can be calculated by dividing the number of runners who did a push-up by the total number of students who ran track and multiplying by 100: 4/12 * 100 = 33.33%. Therefore, approximately 33.33% of the runners did a push-up.
D.) The proportion of the class that was absent can be calculated by subtracting the sum of students who played volleyball and ran track from the total number of students, and then dividing by the total number of students: (40 - (13 + 12))/40 = 15/40 = 0.375, or 37.5%. So, approximately 37.5% of the class was absent.
A.) To find the proportion of the class that ran track, we need to divide the number of students who ran track by the total number of students in the class. From the given information, we know that 12 students ran track. So the proportion of the class that ran track is:
Proportion of students who ran track = Number of students who ran track / Total number of students
Proportion of students who ran track = 12 / 40
Proportion of students who ran track = 3/10
B.) To find the percentage of students who played volleyball, we need to divide the number of students who played volleyball by the total number of students in the class and then multiply by 100. From the given information, we know that 13 students played volleyball. So the percentage of students who played volleyball is:
Percentage of students who played volleyball = (Number of students who played volleyball / Total number of students) x 100
Percentage of students who played volleyball = (13 / 40) x 100
Percentage of students who played volleyball = 32.5%
C.) To find the percentage of runners who did a push up, we need to divide the number of runners who did a push up by the total number of students who ran track and then multiply by 100. From the given information, we know that 4 runners did a push up. So the percentage of runners who did a push up is:
Percentage of runners who did a push up = (Number of runners who did a push up / Total number of students who ran track) x 100
Percentage of runners who did a push up = (4 / 12) x 100
Percentage of runners who did a push up = 33.33%
D.) To find the proportion of the class that was absent, we need to subtract the total number of students who played volleyball and ran track from the total number of students in the class and then divide by the total number of students. From the given information, we know that 13 students played volleyball and 12 students ran track. So the proportion of the class that was absent is:
Proportion of students absent = (Total number of students - Number of students who played volleyball - Number of students who ran track) / Total number of students
Proportion of students absent = (40 - 13 - 12) / 40
Proportion of students absent = 15 / 40
Proportion of students absent = 3/8
To find the answers to these questions, we need to use the given information and perform some calculations.
A.) To find the proportion of the class that ran track, we divide the number of students who ran track by the total number of students:
Proportion of students who ran track = Number of students who ran track / Total number of students
Number of students who ran track = 12
Total number of students = 40
Proportion of students who ran track = 12 / 40 = 0.3 or 30%
Therefore, the proportion of the class that ran track is 0.3 or 30%.
B.) To find the percentage of students who played volleyball, we divide the number of students who played volleyball by the total number of students and multiply by 100:
Percentage of students who played volleyball = (Number of students who played volleyball / Total number of students) * 100
Number of students who played volleyball = 13
Total number of students = 40
Percentage of students who played volleyball = (13 / 40) * 100 = 32.5%
Therefore, the percentage of students who played volleyball is 32.5%.
C.) We are given that 4 out of the 12 students who ran track did a push-up. To find the percentage of runners who did a push-up, we divide the number of runners who did a push-up by the total number of runners and multiply by 100:
Percentage of runners who did a push up = (Number of runners who did a push-up / Total number of runners) * 100
Number of runners who did a push-up = 4
Total number of runners = 12
Percentage of runners who did a push-up = (4 / 12) * 100 = 33.3%
Therefore, the percentage of runners who did a push-up is 33.3%.
D.) To find the proportion of the class that was absent, we subtract the sum of the students who played volleyball and ran track from the total number of students, and then divide by the total number of students:
Proportion of students absent = (Total number of students - (Number of students who played volleyball + Number of students who ran track)) / Total number of students
Total number of students = 40
Number of students who played volleyball = 13
Number of students who ran track = 12
Proportion of students absent = (40 - (13 + 12)) / 40 = 15 / 40 = 0.375 or 37.5%
Therefore, the proportion of the class that was absent is 0.375 or 37.5%.