18 students share some stickers.
Each girl gets 2 stickers.
Each boy gets 3 stickers.
In total, the girls get 49 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 |
18
|
18 x 3 = 54 |
0
|
0 x 2 = 0 |
54 - 0 = 54 |
17
|
17 x 3 = 51 |
1
|
1 x 2 = 2 |
51 - 2 = 49 |
17
|
17 x 3 = 51 |
1
|
1 x 2 = 2 |
51 - 2 = 49 |
(a)
Total number of stickers that the students will get if all the students are boys
= 18 x 3
= 54
Total number of less stickers for the girls than the boys if one boy is replaced by a girl
= 17 x 3 - 1 x 2
= 51 - 2
= 49
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 54 - 49
= 5
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 2 + 3
= 5
Number of girls
= 5 ÷ 5
= 1
(b)
Number of boys
= 18 - 1
= 17
(c)
Number of stickers that the boys get
= 17 x 3
= 51
(d)
Number of stickers that the girls get
= 1 x 2
= 2
Total number of stickers
= 51 + 2
= 53
Answer(s): (a) 1; (b) 17; (c) 51; (d) 53