17 students share some stickers.
Each girl gets 2 stickers.
Each boy gets 3 stickers.
In total, the girls get 36 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 |
17
|
17 x 3 = 51 |
0
|
0 x 2 = 0 |
51 - 0 = 51 |
16
|
16 x 3 = 48 |
1
|
1 x 2 = 2 |
48 - 2 = 46 |
14
|
14 x 3 = 42 |
3
|
3 x 2 = 6 |
42 - 6 = 36 |
(a)
Total number of stickers that the students will get if all the students are boys
= 17 x 3
= 51
Total number of less stickers for the girls than the boys if one boy is replaced by a girl
= 16 x 3 - 1 x 2
= 48 - 2
= 46
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 51 - 36
= 15
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 2 + 3
= 5
Number of girls
= 15 ÷ 5
= 3
(b)
Number of boys
= 17 - 3
= 14
(c)
Number of stickers that the boys get
= 14 x 3
= 42
(d)
Number of stickers that the girls get
= 3 x 2
= 6
Total number of stickers
= 42 + 6
= 48
Answer(s): (a) 3; (b) 14; (c) 42; (d) 48