The following table gives the percentage of students belonging to low income group in each of the five colleges A, B, C, D and E, along with the proportion of males and females with and without low income.College Name Percentage of students
with low incomeProportion of males
and femalesWith low income Without low income M:F M:F A 35 5:6 6:7 B 25 3:5 4:5 C 24 1:2 2:3 D 19 3:2 4:3 E 15 5:3 3:2
The objective is to find the college with the least number of students without low income. The problem states we should assume each college has the same total number of students (let's denote this total as T).
Under this assumption, the college with the least number of students without low income will be the one that has the lowest percentage of students classified as being without low income.
The provided table gives the 'Percentage of students with low income' for each college. To find the percentage of students without low income, we use the following calculation for each college:
Percentage without low income = $100\% - (\text{Percentage with low income})$
Applying this calculation:
Comparing these calculated percentages reveals the proportion of students without low income in each college relative to its total student population.
The college identified as having the least number of students without low income is B.
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