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?

Show Hint

Use the Arts share (23% = 1049) to find the grand total, then take 9% of it for Engineering.
Updated On: Jul 14, 2026
  • 420
  • 410
  • 390
  • 440
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The Correct Option is B

Solution and Explanation

Step 1: Use the Arts data to find the total student strength.
The chart shows Arts is 23% of all students, and we know Arts has 1049 students, so \( 0.23x = 1049 \).

Step 2: Solve for the total, x.
\( x = \frac{1049}{0.23} \approx 4560 \) students in the whole university.

Step 3: Apply the Engineering percentage to this total.
Engineering is 9% of all students, so Engineering strength \( = 0.09 \times 4560 \).

Step 4: Compute the value.
\( 0.09 \times 4560 = 410.4 \), which rounds to 410 students.

Step 5: Rule out the other options.
420, 390 and 440 do not come out of \( 0.09 \times 4560 \), so only 410 is correct.

Final Answer:
Engineering has about 410 students. \[ \boxed{410} \]
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