16 students share some stickers.
Each girl gets 4 stickers.
Each boy gets 5 stickers.
In total, the girls get 28 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 |
16 |
16 x 4 = 64 |
0 |
0 x 5 = 0 |
64 - 0 = 64 |
15 |
15 x 4 = 60 |
1 |
1 x 5 = 5 |
60 - 5 = 55 |
12 |
12 x 4 = 48 |
4 |
4 x 5 = 20 |
48 - 20 = 28 |
(a)
Number of more stickers for the girls than the boys if all the students are girls,
= 16 x 4
= 64
Number of more stickers for the girls than the boys if one girl is replaced by a boy
= 15 x 4 - 1 x 5
= 60 - 5
= 55
Big difference in the decrease in the number of stickers when a girl is replaced by a boy
= 64 - 28
= 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
= 16 - 4
= 12
(c)
Number of stickers that the boys get
= 4 x 5
= 20
(d)
Number of stickers that the girls get
= 12 x 4
= 48
Total number of stickers
= 20 + 48
= 68
Answer(s): (a) 4; (b) 12; (c) 20; (d) 68