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3/5 of the class were boys. The teacher divided the boys equally into groups so the each group of boys had 1/10 of the number of students in the class. The teacher then divided the girls equally into groups such that each group of girls had 1/5 of the number of students in the class? How do I do this and what's the answer?

Verified Answer :

Andyhoang

i think boys =18
          girls=12
boys :x
girls:y
student:z
the number of group for the boys :n
the numberof group for the girls :m
so x=(3/5)z
    y=(2/5) z
x/y=3/2
3y-2x=0
(1/10)zn=(3/5) z
so n=6
(1/5)zm=(2/5) z
put x=(1/10)z6
    y=(1/5)z2
 into 3y-2x=0 and z=30
 z=30 so x=(1/10)306=18
               y=(1/5)302=12


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