15 students share some stickers.
Each girl gets 3 stickers.
Each boy gets 5 stickers.
In total, the girls get 13 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 |
15 |
15 x 3 = 45 |
0 |
0 x 5 = 0 |
45 - 0 = 45 |
14 |
14 x 3 = 42 |
1 |
1 x 5 = 5 |
42 - 5 = 37 |
11 |
11 x 3 = 33 |
4 |
4 x 5 = 20 |
33 - 20 = 13 |
(a)
Number of more stickers for the girls than the boys if all the students are girls,
= 15 x 3
= 45
Number of more stickers for the girls than the boys if one girl is replaced by a boy
= 14 x 3 - 1 x 5
= 42 - 5
= 37
Big difference in the decrease in the number of stickers when a girl is replaced by a boy
= 45 - 13
= 32
Small difference in the decrease in the number of stickers when a girl is replaced by a boy
= 3 + 5
= 8
Number of boys
= 32 ÷ 8
= 4
(b)
Number of girls
= 15 - 4
= 11
(c)
Number of stickers that the boys get
= 4 x 5
= 20
(d)
Number of stickers that the girls get
= 11 x 3
= 33
Total number of stickers
= 20 + 33
= 53
Answer(s): (a) 4; (b) 11; (c) 20; (d) 53