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?

Question

Campbell Mendez

Mathematics

19 May, 14:58

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?

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Benitez · Answer 1

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) * z*n = (3/5 ) * z

so n=6

(1/5) * z*m = (2/5) * z

put x = (1/10) * z*6

y = (1/5) * z*2

into 3y-2x=0 and z=30

z=30 so x = (1/10) * 30*6=18

y = (1/5) * 30*2=12