10 students share some stickers.
Each boy gets 2 stickers.
Each girl gets 5 stickers.
In total, the boys get 36 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 |
10
|
10 x 5 = 50 |
0
|
0 x 2 = 0 |
50 - 0 = 50 |
9
|
9 x 5 = 45 |
1
|
1 x 2 = 2 |
45 - 2 = 43 |
8
|
8 x 5 = 40 |
2
|
2 x 2 = 4 |
40 - 4 = 36 |
(a)
Total number of stickers that the students will get if all the students are girls
= 10 x 5
= 50
Total number of less stickers for the boys than the girls if one girl is replaced by a boy
= 9 x 5 - 1 x 2
= 45 - 2
= 43
Big difference in the decrease in the number of stickers when a girl is replaced by a boy
= 50 - 36
= 14
Small difference in the decrease in the number of stickers when a girl is replaced by a boy
= 2 + 5
= 7
Number of boys
= 14 ÷ 7
= 2
(b)
Number of girls
= 10 - 2
= 8
(c)
Number of stickers that the girls get
= 8 x 5
= 40
(d)
Number of stickers that the boys get
= 2 x 2
= 4
Total number of stickers
= 40 + 4
= 44
Answer(s): (a) 2; (b) 8; (c) 40; (d) 44