20 students share some stickers.
Each boy gets 4 stickers.
Each girl gets 5 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 |
20 |
20 x 4 = 80 |
0 |
0 x 5 = 0 |
80 - 0 = 80 |
19 |
19 x 4 = 76 |
1 |
1 x 5 = 5 |
76 - 5 = 71 |
14 |
14 x 4 = 56 |
6 |
6 x 5 = 30 |
56 - 30 = 26 |
(a)
Number of more stickers for the boys than the girls if all the students are boys,
= 20 x 4
= 80
Number of more stickers for the boys than the girls if one boy is replaced by a girl
= 19 x 4 - 1 x 5
= 76 - 5
= 71
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 80 - 26
= 54
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 4 + 5
= 9
Number of girls
= 54 ÷ 9
= 6
(b)
Number of boys
= 20 - 6
= 14
(c)
Number of stickers that the girls get
= 6 x 5
= 30
(d)
Number of stickers that the boys get
= 14 x 4
= 56
Total number of stickers
= 30 + 56
= 86
Answer(s): (a) 6; (b) 14; (c) 30; (d) 86