19 students share some stickers.
Each boy gets 2 stickers.
Each girl gets 4 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 |
19 |
19 x 2 = 38 |
0 |
0 x 4 = 0 |
38 - 0 = 38 |
18 |
18 x 2 = 36 |
1 |
1 x 4 = 4 |
36 - 4 = 32 |
15 |
15 x 2 = 30 |
4 |
4 x 4 = 16 |
30 - 16 = 14 |
(a)
Number of more stickers for the boys than the girls if all the students are boys,
= 19 x 2
= 38
Number of more stickers for the boys than the girls if one boy is replaced by a girl
= 18 x 2 - 1 x 4
= 36 - 4
= 32
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 38 - 14
= 24
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 2 + 4
= 6
Number of girls
= 24 ÷ 6
= 4
(b)
Number of boys
= 19 - 4
= 15
(c)
Number of stickers that the girls get
= 4 x 4
= 16
(d)
Number of stickers that the boys get
= 15 x 2
= 30
Total number of stickers
= 16 + 30
= 46
Answer(s): (a) 4; (b) 15; (c) 16; (d) 46