Fill in the blanks.
At a gathering,
13 of the boys and
12 of the girls and
13 of the adults left after 1 hour.
The number of boys, girls, and adults who remained were the same.
- Number of boys at first = _____ u
- Number of girls at first = _____ u
- Number of adults at first = _____ u
- Number of people who remained = _____ u
(a)
Change fraction into units.
Fraction of the boys who remained
= 1 -
13=
23Fraction of the girls who remained
= 1 -
12 =
12Fraction of the adults who remained
= 1 -
13 =
23The number of boys, girls and adults who remained is the same.
Make the numerators the same.
LCM of 2, 1 and 2 = 4
2 x 23 x 2 of the boys =
1 x 42 x 4 of the girls =
2 x 23 x 2 of the adults
46 of the boys =
48 of the girls =
46 of the adults
Boys : Girls : Adults
6 : 8 : 6
(a)
Number of boys at first = 6 u
(b)
Number of girls at first = 8 u
(c)
Number of adults at first = 6 u
(d)
Number of people who remained
= 3 x 4 u
= 12 u
Answer(s): (a) 6; (b) 8; (c) 6; (d) 12