18 students share some stickers.
Each boy gets 3 stickers.
Each girl gets 4 stickers.
In total, the boys get 26 more stickers than the girls.
- How many girls are there?
- How many boys are there?
- How many stickers do the girls get?
- How many stickers do the children get?
Number of boys |
Total stickers that the boys get |
Number of girls |
Total stickers that the girls get |
More stickers for the boys than the girls |
18 |
18 x 3 = 54 |
0 |
0 x 4 = 0 |
54 - 0 = 54 |
17 |
17 x 3 = 51 |
1 |
1 x 4 = 4 |
51 - 4 = 47 |
14 |
14 x 3 = 42 |
4 |
4 x 4 = 16 |
42 - 16 = 26 |
(a)
Number of more stickers for the boys than the girls if all the students are boys,
= 18 x 3
= 54
Number of more stickers for the boys than the girls if one boy is replaced by a girl
= 17 x 3 - 1 x 4
= 51 - 4
= 47
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 54 - 26
= 28
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 3 + 4
= 7
Number of girls
= 28 ÷ 7
= 4
(b)
Number of boys
= 18 - 4
= 14
(c)
Number of stickers that the girls get
= 4 x 4
= 16
(d)
Number of stickers that the boys get
= 14 x 3
= 42
Total number of stickers
= 16 + 42
= 58
Answer(s): (a) 4; (b) 14; (c) 16; (d) 58