17 students share some stickers.
Each boy gets 4 stickers.
Each girl gets 5 stickers.
In total, the boys get 14 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 |
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 |
11 |
11 x 4 = 44 |
6 |
6 x 5 = 30 |
44 - 30 = 14 |
(a)
Number of more stickers for the boys than the girls if all the students are boys,
= 17 x 4
= 68
Number of more stickers for the boys than the girls if one boy is replaced by a girl
= 16 x 4 - 1 x 5
= 64 - 5
= 59
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 68 - 14
= 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
= 17 - 6
= 11
(c)
Number of stickers that the girls get
= 6 x 5
= 30
(d)
Number of stickers that the boys get
= 11 x 4
= 44
Total number of stickers
= 30 + 44
= 74
Answer(s): (a) 6; (b) 11; (c) 30; (d) 74