12 students share some stickers.
Each boy gets 2 stickers.
Each girl gets 4 stickers.
In total, the boys get 42 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 |
12
|
12 x 4 = 48 |
0
|
0 x 2 = 0 |
48 - 0 = 48 |
11
|
11 x 4 = 44 |
1
|
1 x 2 = 2 |
44 - 2 = 42 |
11
|
11 x 4 = 44 |
1
|
1 x 2 = 2 |
44 - 2 = 42 |
(a)
Total number of stickers that the students will get if all the students are girls
= 12 x 4
= 48
Total number of less stickers for the boys than the girls if one girl is replaced by a boy
= 11 x 4 - 1 x 2
= 44 - 2
= 42
Big difference in the decrease in the number of stickers when a girl is replaced by a boy
= 48 - 42
= 6
Small difference in the decrease in the number of stickers when a girl is replaced by a boy
= 2 + 4
= 6
Number of boys
= 6 ÷ 6
= 1
(b)
Number of girls
= 12 - 1
= 11
(c)
Number of stickers that the girls get
= 11 x 4
= 44
(d)
Number of stickers that the boys get
= 1 x 2
= 2
Total number of stickers
= 44 + 2
= 46
Answer(s): (a) 1; (b) 11; (c) 44; (d) 46