Fill in the blanks.
At a gathering,
1417 of the boys and
23 of the girls and
1114 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 -
1417=
317Fraction of the girls who remained
= 1 -
23 =
13Fraction of the adults who remained
= 1 -
1114 =
314The number of boys, girls and adults who remained is the same.
Make the numerators the same.
LCM of 3, 1 and 3 = 3
3 x 117 x 1 of the boys =
1 x 33 x 3 of the girls =
3 x 114 x 1 of the adults
317 of the boys =
39 of the girls =
314 of the adults
Boys : Girls : Adults
17 : 9 : 14
(a)
Number of boys at first = 17 u
(b)
Number of girls at first = 9 u
(c)
Number of adults at first = 14 u
(d)
Number of people who remained
= 3 x 3 u
= 9 u
Answer(s): (a) 17; (b) 9; (c) 14; (d) 9