Question

Difficulty: EasyRatio, Proportion, and Percent Calculations

Based on the data provided in the table below regarding student enrollment across four university departments in 2025, the percentage of international students in the Business department is greater than the percentage of international students in the Engineering department.

DepartmentTotal StudentsInternational Students
Humanities40080
Business600150
Science500125
Engineering800160

Answer: Answer

Answer

True
The statement is true. In the Business department, international students account for 150600=25%\frac{150}{600} = 25\% of total students. In the Engineering department, international students account for 160800=20%\frac{160}{800} = 20\% of total students. Since 25%>20%25\% > 20\%, the percentage is indeed greater in Business.

Step-by-Step Solution

1
Calculate the percentage of international students in the Business department
150600×100%=25%\frac{150}{600} \times 100\% = 25\%
To find the percentage, divide the number of international students in Business by the total number of students in Business and multiply by 100.
2
Calculate the percentage of international students in the Engineering department
160800×100%=20%\frac{160}{800} \times 100\% = 20\%
To find the percentage, divide the number of international students in Engineering by the total number of students in Engineering and multiply by 100.
3
Compare the two calculated percentages
25%>20%25\% > 20\%
Comparing 25%25\% (Business) to 20%20\% (Engineering) confirms that the proportion is higher in Business.

Key Concept

Calculating and comparing subgroup proportions and percentages using department-specific total bases
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