19 students share some stickers.
Each girl gets 3 stickers.
Each boy gets 4 stickers.
In total, the girls get 20 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 |
19
|
19 x 4 = 76 |
0
|
0 x 3 = 0 |
76 - 0 = 76 |
18
|
18 x 4 = 72 |
1
|
1 x 3 = 3 |
72 - 3 = 69 |
11
|
11 x 4 = 44 |
8
|
8 x 3 = 24 |
44 - 24 = 20 |
(a)
Total number of stickers that the students will get if all the students are boys
= 19 x 4
= 76
Total number of less stickers for the girls than the boys if one boy is replaced by a girl
= 18 x 4 - 1 x 3
= 72 - 3
= 69
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 76 - 20
= 56
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 3 + 4
= 7
Number of girls
= 56 ÷ 7
= 8
(b)
Number of boys
= 19 - 8
= 11
(c)
Number of stickers that the boys get
= 11 x 4
= 44
(d)
Number of stickers that the girls get
= 8 x 3
= 24
Total number of stickers
= 44 + 24
= 68
Answer(s): (a) 8; (b) 11; (c) 44; (d) 68