17 students share some stickers.
Each girl gets 4 stickers.
Each boy gets 5 stickers.
In total, the girls get 32 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 |
17 |
17 x 4 = 68 |
0 |
0 x 5 = 0 |
68 - 0 = 68 |
16 |
16 x 4 = 64 |
1 |
1 x 5 = 5 |
64 - 5 = 59 |
13 |
13 x 4 = 52 |
4 |
4 x 5 = 20 |
52 - 20 = 32 |
(a)
Number of more stickers for the girls than the boys if all the students are girls,
= 17 x 4
= 68
Number of more stickers for the girls than the boys if one girl is replaced by a boy
= 16 x 4 - 1 x 5
= 64 - 5
= 59
Big difference in the decrease in the number of stickers when a girl is replaced by a boy
= 68 - 32
= 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
= 17 - 4
= 13
(c)
Number of stickers that the boys get
= 4 x 5
= 20
(d)
Number of stickers that the girls get
= 13 x 4
= 52
Total number of stickers
= 20 + 52
= 72
Answer(s): (a) 4; (b) 13; (c) 20; (d) 72