14 students share some stickers.
Each boy gets 2 stickers.
Each girl gets 5 stickers.
In total, the boys get 21 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 |
14
|
14 x 5 = 70 |
0
|
0 x 2 = 0 |
70 - 0 = 70 |
13
|
13 x 5 = 65 |
1
|
1 x 2 = 2 |
65 - 2 = 63 |
7
|
7 x 5 = 35 |
7
|
7 x 2 = 14 |
35 - 14 = 21 |
(a)
Total number of stickers that the students will get if all the students are girls
= 14 x 5
= 70
Total number of less stickers for the boys than the girls if one girl is replaced by a boy
= 13 x 5 - 1 x 2
= 65 - 2
= 63
Big difference in the decrease in the number of stickers when a girl is replaced by a boy
= 70 - 21
= 49
Small difference in the decrease in the number of stickers when a girl is replaced by a boy
= 2 + 5
= 7
Number of boys
= 49 ÷ 7
= 7
(b)
Number of girls
= 14 - 7
= 7
(c)
Number of stickers that the girls get
= 7 x 5
= 35
(d)
Number of stickers that the boys get
= 7 x 2
= 14
Total number of stickers
= 35 + 14
= 49
Answer(s): (a) 7; (b) 7; (c) 35; (d) 49