20 students share some stickers.
Each girl gets 3 stickers.
Each boy gets 5 stickers.
In total, the girls get 12 more stickers than the boys.
- How many boys are there?
- How many girls are there?
- How many stickers do the boys get?
- How many stickers do the children get?
Number of girls |
Total stickers that the girls get |
Number of boys |
Total stickers that the boys get |
More stickers for the girls than the boys |
20 |
20 x 3 = 60 |
0 |
0 x 5 = 0 |
60 - 0 = 60 |
19 |
19 x 3 = 57 |
1 |
1 x 5 = 5 |
57 - 5 = 52 |
14 |
14 x 3 = 42 |
6 |
6 x 5 = 30 |
42 - 30 = 12 |
(a)
Number of more stickers for the girls than the boys if all the students are girls,
= 20 x 3
= 60
Number of more stickers for the girls than the boys if one girl is replaced by a boy
= 19 x 3 - 1 x 5
= 57 - 5
= 52
Big difference in the decrease in the number of stickers when a girl is replaced by a boy
= 60 - 12
= 48
Small difference in the decrease in the number of stickers when a girl is replaced by a boy
= 3 + 5
= 8
Number of boys
= 48 ÷ 8
= 6
(b)
Number of girls
= 20 - 6
= 14
(c)
Number of stickers that the boys get
= 6 x 5
= 30
(d)
Number of stickers that the girls get
= 14 x 3
= 42
Total number of stickers
= 30 + 42
= 72
Answer(s): (a) 6; (b) 14; (c) 30; (d) 72