20 students share some stickers.
Each boy gets 3 stickers.
Each girl gets 4 stickers.
In total, the boys get 18 more stickers than the girls.
- How many girls are there?
- How many boys are there?
- How many stickers do the girls get?
- How many stickers do the children get?
Number of boys |
Total stickers that the boys get |
Number of girls |
Total stickers that the girls get |
More stickers for the boys than the girls |
20 |
20 x 3 = 60 |
0 |
0 x 4 = 0 |
60 - 0 = 60 |
19 |
19 x 3 = 57 |
1 |
1 x 4 = 4 |
57 - 4 = 53 |
14 |
14 x 3 = 42 |
6 |
6 x 4 = 24 |
42 - 24 = 18 |
(a)
Number of more stickers for the boys than the girls if all the students are boys,
= 20 x 3
= 60
Number of more stickers for the boys than the girls if one boy is replaced by a girl
= 19 x 3 - 1 x 4
= 57 - 4
= 53
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 60 - 18
= 42
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 3 + 4
= 7
Number of girls
= 42 ÷ 7
= 6
(b)
Number of boys
= 20 - 6
= 14
(c)
Number of stickers that the girls get
= 6 x 4
= 24
(d)
Number of stickers that the boys get
= 14 x 3
= 42
Total number of stickers
= 24 + 42
= 66
Answer(s): (a) 6; (b) 14; (c) 24; (d) 66