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The overall average marks of all students in a school is 72. Science stream students have an average of 85, while Arts stream students have an average of 65. If there are 25 Science students, determine the number of Arts students.

1. 35.5
2. 40
3. 46.4
4. 50

Correct answer: 46.4

Solution

Using weighted average, $(25\times 85 + x\times 65)/(25+x)=72$. Solving gives $x=46.4$, which matches the given option set.

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