First convert the statement to an equation:
M:A:F = 7:8:10 tells you that the number of students in Marketing to Accounting to Finance is 7 to 8 to 10. The trick is to realize that the total students in M will be 7x where x is a number, therefore A will have 8x and likewise, F will have 10x since 7x:8x:10x = 7:8:10. This means:
7x + 8x + 10x = 500
25x = 500
x = 20
The question asks for students in F, which is 10x or 10*20 = 200.
ps
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Source: Beat The GMAT — Problem Solving |












