Instructions (36-40): The pie charts below show the percentage of students in each faculty at North West University and the number of non-US students in the Arts faculty. These percentages are rounded to the nearest whole number. There are 1049 students in the Arts faculty. Use this data to answer the question below.
38. How many students are there at the University?
Show Hint
Arts is 23% of the total and equals 1049 students; scale this up to find 100%.
Instead of solving an equation, we can build the answer up using the unitary method.
4650: does not match the unitary calculation below, so it is wrong.
4560: if 23% of the university equals 1049 students, then 1% equals $1049/23 \approx 45.6$ students. Scaling this up to 100% gives $45.6 \times 100 = 4560$, so this option fits.
4640: too high for $45.6 \times 100$, so it is wrong.
4450: too low for the same scaling, so it is wrong.
Finding the value of 1% first and then scaling to 100% is a quick unitary-method check that confirms 4560.
Let's summarize:
1% of the university $\approx 45.6$ students.
100% (the whole university) $\approx 4560$ students.
