20 students share some stickers.
Each boy gets 3 stickers.
Each girl gets 5 stickers.
In total, the boys get 20 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 5 = 0 |
60 - 0 = 60 |
19 |
19 x 3 = 57 |
1 |
1 x 5 = 5 |
57 - 5 = 52 |
15 |
15 x 3 = 45 |
5 |
5 x 5 = 25 |
45 - 25 = 20 |
(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 5
= 57 - 5
= 52
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 60 - 20
= 40
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 3 + 5
= 8
Number of girls
= 40 ÷ 8
= 5
(b)
Number of boys
= 20 - 5
= 15
(c)
Number of stickers that the girls get
= 5 x 5
= 25
(d)
Number of stickers that the boys get
= 15 x 3
= 45
Total number of stickers
= 25 + 45
= 70
Answer(s): (a) 5; (b) 15; (c) 25; (d) 70