11 students share some stickers.
Each boy gets 3 stickers.
Each girl gets 5 stickers.
In total, the boys get 47 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 5 = 55 |
0
|
0 x 3 = 0 |
55 - 0 = 55 |
10
|
10 x 5 = 50 |
1
|
1 x 3 = 3 |
50 - 3 = 47 |
10
|
10 x 5 = 50 |
1
|
1 x 3 = 3 |
50 - 3 = 47 |
(a)
Total number of stickers that the students will get if all the students are girls
= 11 x 5
= 55
Total number of less stickers for the boys than the girls if one girl is replaced by a boy
= 10 x 5 - 1 x 3
= 50 - 3
= 47
Big difference in the decrease in the number of stickers when a girl is replaced by a boy
= 55 - 47
= 8
Small difference in the decrease in the number of stickers when a girl is replaced by a boy
= 3 + 5
= 8
Number of boys
= 8 ÷ 8
= 1
(b)
Number of girls
= 11 - 1
= 10
(c)
Number of stickers that the girls get
= 10 x 5
= 50
(d)
Number of stickers that the boys get
= 1 x 3
= 3
Total number of stickers
= 50 + 3
= 53
Answer(s): (a) 1; (b) 10; (c) 50; (d) 53