In a class of 42 students, the number of boys is 2/5 of the giris. Find the number of boys and girls in the class.
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let the number of boys be B
let the girls be G
)
B
+
G
=
42
(2)
B
=
2
5
×
G
Replacing
B
by (2) we get:
2
5
×
G
+
G
=
1
2
5
×
G
=
42
Turning
1
2
5
into a non-mixed fraction:
7
5
×
G
=
42
→
multiply by 5, divide by 7:
G
=
42
×
5
7
=
6
×
7
×
5
7
=
30
B
=
2
5
×
30
=
2
5
×
5
×
6
=
12
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