13 students share some stickers.
Each girl gets 2 stickers.
Each boy gets 4 stickers.
In total, the girls get 40 less stickers than the boys.
- How many girls are there?
- How many boys are there?
- How many stickers do the boys get?
- How many stickers do the students get?
Number of boys |
Total stickers that the boys get |
Number of girls |
Total stickers that the girls get |
Less stickers for the girls than the boys |
13
|
13 x 4 = 52 |
0
|
0 x 2 = 0 |
52 - 0 = 52 |
12
|
12 x 4 = 48 |
1
|
1 x 2 = 2 |
48 - 2 = 46 |
11
|
11 x 4 = 44 |
2
|
2 x 2 = 4 |
44 - 4 = 40 |
(a)
Total number of stickers that the students will get if all the students are boys
= 13 x 4
= 52
Total number of less stickers for the girls than the boys if one boy is replaced by a girl
= 12 x 4 - 1 x 2
= 48 - 2
= 46
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 52 - 40
= 12
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 2 + 4
= 6
Number of girls
= 12 ÷ 6
= 2
(b)
Number of boys
= 13 - 2
= 11
(c)
Number of stickers that the boys get
= 11 x 4
= 44
(d)
Number of stickers that the girls get
= 2 x 2
= 4
Total number of stickers
= 44 + 4
= 48
Answer(s): (a) 2; (b) 11; (c) 44; (d) 48