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.

37. How many students are there in the Engineering faculty?

• A. 420
• B. 410
• C. 390
• D. 440

Hint:

Use the Arts share (23% = 1049) to find the grand total, then take 9% of it for Engineering.

Answer 1

The Correct Option is B

We can skip finding the grand total and use a direct ratio between the Arts and Engineering slices instead.

1. 420: check it against the ratio test below; it does not satisfy the Arts to Engineering ratio, so it is wrong.
2. 410: since Arts is 23% and Engineering is 9% of the same total, Engineering count $= 1049 \times \frac{9}{23}$. This works out to about 410.5, so 410 fits.
3. 390: too small for the 9:23 ratio against 1049, so it is wrong.
4. 440: too large for the same ratio, so it is wrong.

Because Arts and Engineering are both percentages of the same whole, their counts must stay in the ratio 23:9, and only 410 matches that ratio against 1049.

Let's summarize:

• Arts to Engineering ratio is 23:9.
• $1049 \times \frac{9}{23} \approx 410$.

So Engineering has 410 students, option B.