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Question

# The students in three classes are in the ratio 2:3:5. If 40 students are increased in each class, the ratio changes to 4:5:7. Originally the total number of students was:

A
100
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B
180
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C
200
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D
400
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Solution

## The correct option is B 200Let the original number of students be 2a:3a;5aIf 40 students are increased in each class, the ratio changes to 4:5:7∴2a+40:3a+40:5a+40=4:5:7∴2a+404=3a+405=5a+407 Choosing the first two, ∴2a+404=3a+405∴10a+200=12a+1602a=40a=20Hence, the total number of students originally 2a+3a+5a=10a=10×20=200

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