17 students share some stickers.
Each girl gets 3 stickers.
Each boy gets 4 stickers.
In total, the girls get 23 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 3 = 51 |
0 |
0 x 4 = 0 |
51 - 0 = 51 |
16 |
16 x 3 = 48 |
1 |
1 x 4 = 4 |
48 - 4 = 44 |
13 |
13 x 3 = 39 |
4 |
4 x 4 = 16 |
39 - 16 = 23 |
(a)
Number of more stickers for the girls than the boys if all the students are girls,
= 17 x 3
= 51
Number of more stickers for the girls than the boys if one girl is replaced by a boy
= 16 x 3 - 1 x 4
= 48 - 4
= 44
Big difference in the decrease in the number of stickers when a girl is replaced by a boy
= 51 - 23
= 28
Small difference in the decrease in the number of stickers when a girl is replaced by a boy
= 3 + 4
= 7
Number of boys
= 28 ÷ 7
= 4
(b)
Number of girls
= 17 - 4
= 13
(c)
Number of stickers that the boys get
= 4 x 4
= 16
(d)
Number of stickers that the girls get
= 13 x 3
= 39
Total number of stickers
= 16 + 39
= 55
Answer(s): (a) 4; (b) 13; (c) 16; (d) 55