Fill in the blanks.
At a gathering, ³₅ of the boys and ³₇ of the girls and ¹₃ of the adults left after 1 hour.
The number of boys, girls, and adults who remained were the same.

1. Number of boys at first = _____ u
2. Number of girls at first = _____ u
3. Number of adults at first = _____ u
4. Number of people who remained = _____ u

(a)
Change fraction into units.

Fraction of the boys who remained
= 1 - ³₅
= ²₅

Fraction of the girls who remained
= 1 - ³₇
= ⁴₇

Fraction of the adults who remained
= 1 - ¹₃
= ²₃

The number of boys, girls and adults who remained is the same.
Make the numerators the same.

LCM of 2, 4 and 2 = 8

2 x 45 x 4 of the boys = 4 x 27 x 2  of the girls = 2 x 43 x 4 of the adults
820 of the boys = 814 of the girls = 812 of the adults

Boys : Girls : Adults
20 : 14 : 12

(a)
Number of boys at first = 20 u

(b)
Number of girls at first = 14 u

(c)
Number of adults at first = 12 u

(d)
Number of people who remained
= 3 x 8 u
= 24 u

Answer(s): (a) 20; (b) 14; (c) 12; (d) 24