Question

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.

39. If six percent of Science students are Asian, how many Asian students are studying Science?

• A. 48
• B. 66
• C. 120
• D. 57

Hint:

Multiply the Science share (21%) by the Asian share within Science (6%), then apply it to the total student count.

Answer 1

The Correct Option is D

Rather than working out the Science headcount first, we can combine both percentages into a single share of the whole university.

1. 48: too small for the combined percentage below, so it is wrong.
2. 66: too large for the same combined percentage, so it is wrong.
3. 120: far larger than the combined share allows, so it is wrong.
4. 57: Asian Science students are $21\% \times 6\% = 1.26\%$ of the whole university. Applying this to 4560 gives $0.0126 \times 4560 \approx 57.5$, so this option fits.

Multiplying the two percentages together before applying them to the total gives the same 57 in one combined step.

Let's summarize:

• Combined share $= 21\% \times 6\% = 1.26\%$ of the total.
• $1.26\%$ of 4560 $\approx 57$.

So 57 Asian students study Science, option D.