Fill in the blanks.
At a gathering,
57 of the boys and
78 of the girls and
35 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 -
57=
27Fraction of the girls who remained
= 1 -
78 =
18Fraction of the adults who remained
= 1 -
35 =
25The number of boys, girls and adults who remained is the same.
Make the numerators the same.
LCM of 2, 1 and 2 = 2
2 x 17 x 1 of the boys =
1 x 28 x 2 of the girls =
2 x 15 x 1 of the adults
27 of the boys =
216 of the girls =
25 of the adults
Boys : Girls : Adults
7 : 16 : 5
(a)
Number of boys at first = 7 u
(b)
Number of girls at first = 16 u
(c)
Number of adults at first = 5 u
(d)
Number of people who remained
= 3 x 2 u
= 6 u
Answer(s): (a) 7; (b) 16; (c) 5; (d) 6