11 students share some stickers.
Each boy gets 3 stickers.
Each girl gets 4 stickers.
In total, the boys get 23 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 |
11
|
11 x 4 =
44 |
0
|
0 x 3 =
0 |
44 - 0 =
44 |
10
|
10 x 4 =
40 |
1
|
1 x 3 =
3 |
40 - 3 =
37 |
8
|
8 x 4 =
32 |
3
|
3 x 3 =
9 |
32 - 9 =
23 |
(a)
Total number of stickers that the students will get if all the students are girls
= 11 x 4
= 44
Total number of less stickers for the boys than the girls if one girl is replaced by a boy
= 10 x 4 - 1 x 3
= 40 - 3
= 37
Big difference in the decrease in the number of stickers when a girl is replaced by a boy
= 44 - 23
= 21
Small difference in the decrease in the number of stickers when a girl is replaced by a boy
= 3 + 4
= 7
Number of boys
= 21 ÷ 7
= 3
(b)
Number of girls
= 11 - 3
= 8
(c)
Number of stickers that the girls get
= 8 x 4
= 32
(d)
Number of stickers that the boys get
= 3 x 3
= 9
Total number of stickers
= 32 + 9
= 41
Answer(s): (a) 3; (b) 8; (c) 32; (d) 41
