14 students share some stickers.
Each boy gets 2 stickers.
Each girl gets 3 stickers.
In total, the boys get 27 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 |
14
|
14 x 3 = 42 |
0
|
0 x 2 = 0 |
42 - 0 = 42 |
13
|
13 x 3 = 39 |
1
|
1 x 2 = 2 |
39 - 2 = 37 |
11
|
11 x 3 = 33 |
3
|
3 x 2 = 6 |
33 - 6 = 27 |
(a)
Total number of stickers that the students will get if all the students are girls
= 14 x 3
= 42
Total number of less stickers for the boys than the girls if one girl is replaced by a boy
= 13 x 3 - 1 x 2
= 39 - 2
= 37
Big difference in the decrease in the number of stickers when a girl is replaced by a boy
= 42 - 27
= 15
Small difference in the decrease in the number of stickers when a girl is replaced by a boy
= 2 + 3
= 5
Number of boys
= 15 ÷ 5
= 3
(b)
Number of girls
= 14 - 3
= 11
(c)
Number of stickers that the girls get
= 11 x 3
= 33
(d)
Number of stickers that the boys get
= 3 x 2
= 6
Total number of stickers
= 33 + 6
= 39
Answer(s): (a) 3; (b) 11; (c) 33; (d) 39