14 students share some stickers.
Each girl gets 2 stickers.
Each boy gets 4 stickers.
In total, the girls get 26 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 |
14
|
14 x 4 = 56 |
0
|
0 x 2 = 0 |
56 - 0 = 56 |
13
|
13 x 4 = 52 |
1
|
1 x 2 = 2 |
52 - 2 = 50 |
9
|
9 x 4 = 36 |
5
|
5 x 2 = 10 |
36 - 10 = 26 |
(a)
Total number of stickers that the students will get if all the students are boys
= 14 x 4
= 56
Total number of less stickers for the girls than the boys if one boy is replaced by a girl
= 13 x 4 - 1 x 2
= 52 - 2
= 50
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 56 - 26
= 30
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 2 + 4
= 6
Number of girls
= 30 ÷ 6
= 5
(b)
Number of boys
= 14 - 5
= 9
(c)
Number of stickers that the boys get
= 9 x 4
= 36
(d)
Number of stickers that the girls get
= 5 x 2
= 10
Total number of stickers
= 36 + 10
= 46
Answer(s): (a) 5; (b) 9; (c) 36; (d) 46