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Boys and Girls

Age 14 to 16 Short
Challenge Level
In September, the ratio of boys to girls in a school was 3:2.

By June, there were 80 fewer boys and 20 fewer girlsĀ in the school, and the ratio of boys to girls was 7:5.

What was the total number of students in the school in September?



This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.