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Washington High School randomly selected...

Washington High School randomly selected freshman, sophomore, junior, and senior students for a survey about potential changes to next year’s schedule. Of students selected for the survey, `1/4` were freshmen and `1/3` were sophomores. Half of the remaining selected students were juniors. If 336 students were selected for the survey, how many were seniors ?

A

240

B

140

C

120

D

70

Text Solution

AI Generated Solution

The correct Answer is:
To find the number of seniors selected for the survey at Washington High School, we can follow these steps: 1. **Determine the total number of students surveyed.** - We know that a total of 336 students were selected for the survey. 2. **Calculate the number of freshmen.** - According to the problem, `1/4` of the students were freshmen. - Number of freshmen = \( \frac{1}{4} \times 336 = 84 \) 3. **Calculate the number of sophomores.** - The problem states that `1/3` of the students were sophomores. - Number of sophomores = \( \frac{1}{3} \times 336 = 112 \) 4. **Calculate the number of remaining students after accounting for freshmen and sophomores.** - Remaining students = Total students - (Freshmen + Sophomores) - Remaining students = \( 336 - 84 - 112 = 140 \) 5. **Calculate the number of juniors.** - The problem states that half of the remaining students were juniors. - Number of juniors = \( \frac{1}{2} \times 140 = 70 \) 6. **Calculate the number of seniors.** - We can find the number of seniors by subtracting the number of freshmen, sophomores, and juniors from the total number of students. - Number of seniors = Total students - (Freshmen + Sophomores + Juniors) - Number of seniors = \( 336 - (84 + 112 + 70) = 336 - 266 = 70 \) Thus, the number of seniors selected for the survey is **70**.
To find the number of seniors selected for the survey at Washington High School, we can follow these steps: 1. **Determine the total number of students surveyed.** - We know that a total of 336 students were selected for the survey. 2. **Calculate the number of freshmen.** - According to the problem, `1/4` of the students were freshmen. - Number of freshmen = \( \frac{1}{4} \times 336 = 84 \) ...
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