10 students share some stickers.
Each boy gets 2 stickers.
Each girl gets 4 stickers.
In total, the boys get 28 less stickers than the girls.
- How many boys are there?
- How many girls are there?
- How many stickers do the girls get?
- How many stickers do the students get?
Number of girls |
Total stickers that the girls get |
Number of boys |
Total stickers that the boys get |
Less stickers for the boys than the girls |
10
|
10 x 4 = 40 |
0
|
0 x 2 = 0 |
40 - 0 = 40 |
9
|
9 x 4 = 36 |
1
|
1 x 2 = 2 |
36 - 2 = 34 |
8
|
8 x 4 = 32 |
2
|
2 x 2 = 4 |
32 - 4 = 28 |
(a)
Total number of stickers that the students will get if all the students are girls
= 10 x 4
= 40
Total number of less stickers for the boys than the girls if one girl is replaced by a boy
= 9 x 4 - 1 x 2
= 36 - 2
= 34
Big difference in the decrease in the number of stickers when a girl is replaced by a boy
= 40 - 28
= 12
Small difference in the decrease in the number of stickers when a girl is replaced by a boy
= 2 + 4
= 6
Number of boys
= 12 ÷ 6
= 2
(b)
Number of girls
= 10 - 2
= 8
(c)
Number of stickers that the girls get
= 8 x 4
= 32
(d)
Number of stickers that the boys get
= 2 x 2
= 4
Total number of stickers
= 32 + 4
= 36
Answer(s): (a) 2; (b) 8; (c) 32; (d) 36