20 students share some stickers.
Each girl gets 2 stickers.
Each boy gets 4 stickers.
In total, the girls get 44 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 |
20
|
20 x 4 = 80 |
0
|
0 x 2 = 0 |
80 - 0 = 80 |
19
|
19 x 4 = 76 |
1
|
1 x 2 = 2 |
76 - 2 = 74 |
14
|
14 x 4 = 56 |
6
|
6 x 2 = 12 |
56 - 12 = 44 |
(a)
Total number of stickers that the students will get if all the students are boys
= 20 x 4
= 80
Total number of less stickers for the girls than the boys if one boy is replaced by a girl
= 19 x 4 - 1 x 2
= 76 - 2
= 74
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 80 - 44
= 36
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 2 + 4
= 6
Number of girls
= 36 ÷ 6
= 6
(b)
Number of boys
= 20 - 6
= 14
(c)
Number of stickers that the boys get
= 14 x 4
= 56
(d)
Number of stickers that the girls get
= 6 x 2
= 12
Total number of stickers
= 56 + 12
= 68
Answer(s): (a) 6; (b) 14; (c) 56; (d) 68