Fill in the blanks.
At a gathering,
45 of the boys and
35 of the girls and
15 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 -
45=
15Fraction of the girls who remained
= 1 -
35 =
25Fraction of the adults who remained
= 1 -
15 =
45The number of boys, girls and adults who remained is the same.
Make the numerators the same.
LCM of 1, 2 and 4 = 4
1 x 45 x 4 of the boys =
2 x 25 x 2 of the girls =
4 x 15 x 1 of the adults
420 of the boys =
410 of the girls =
45 of the adults
Boys : Girls : Adults
20 : 10 : 5
(a)
Number of boys at first = 20 u
(b)
Number of girls at first = 10 u
(c)
Number of adults at first = 5 u
(d)
Number of people who remained
= 3 x 4 u
= 12 u
Answer(s): (a) 20; (b) 10; (c) 5; (d) 12