A school admissions office accepts 2 out of every 7 applicants. Given that the school accepted 630 students, how many applicants were NOT accepted?
Question
A school admissions office accepts 2 out of every 7 applicants. Given that the school accepted 630 students, how many applicants were NOT accepted?
Solution
Step 1: Determine the total number of applicants.
The school accepts 2 out of every 7 applicants. This means that the ratio of accepted students to total applicants is 2:7. Given that the school accepted 630 students, we can set up the following proportion to find the total number of applicants:
2/7 = 630/x
Solving for x gives us x = (7 * 630) / 2 = 2205.
So, the total number of applicants was 2205.
Step 2: Determine the number of applicants who were not accepted.
Now that we know the total number of applicants, we can subtract the number of accepted students to find the number of applicants who were not accepted:
2205 - 630 = 1575.
So, 1575 applicants were not accepted.
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