14 students share some stickers.
Each boy gets 4 stickers.
Each girl gets 5 stickers.
In total, the boys get 11 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 |
14 |
14 x 4 = 56 |
0 |
0 x 5 = 0 |
56 - 0 = 56 |
13 |
13 x 4 = 52 |
1 |
1 x 5 = 5 |
52 - 5 = 47 |
9 |
9 x 4 = 36 |
5 |
5 x 5 = 25 |
36 - 25 = 11 |
(a)
Number of more stickers for the boys than the girls if all the students are boys,
= 14 x 4
= 56
Number of more stickers for the boys than the girls if one boy is replaced by a girl
= 13 x 4 - 1 x 5
= 52 - 5
= 47
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 56 - 11
= 45
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 4 + 5
= 9
Number of girls
= 45 ÷ 9
= 5
(b)
Number of boys
= 14 - 5
= 9
(c)
Number of stickers that the girls get
= 5 x 5
= 25
(d)
Number of stickers that the boys get
= 9 x 4
= 36
Total number of stickers
= 25 + 36
= 61
Answer(s): (a) 5; (b) 9; (c) 25; (d) 61