19 students share some stickers.
Each girl gets 4 stickers.
Each boy gets 5 stickers.
In total, the girls get 40 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 |
19 |
19 x 4 = 76 |
0 |
0 x 5 = 0 |
76 - 0 = 76 |
18 |
18 x 4 = 72 |
1 |
1 x 5 = 5 |
72 - 5 = 67 |
15 |
15 x 4 = 60 |
4 |
4 x 5 = 20 |
60 - 20 = 40 |
(a)
Number of more stickers for the girls than the boys if all the students are girls,
= 19 x 4
= 76
Number of more stickers for the girls than the boys if one girl is replaced by a boy
= 18 x 4 - 1 x 5
= 72 - 5
= 67
Big difference in the decrease in the number of stickers when a girl is replaced by a boy
= 76 - 40
= 36
Small difference in the decrease in the number of stickers when a girl is replaced by a boy
= 4 + 5
= 9
Number of boys
= 36 ÷ 9
= 4
(b)
Number of girls
= 19 - 4
= 15
(c)
Number of stickers that the boys get
= 4 x 5
= 20
(d)
Number of stickers that the girls get
= 15 x 4
= 60
Total number of stickers
= 20 + 60
= 80
Answer(s): (a) 4; (b) 15; (c) 20; (d) 80