17 students share some stickers.
Each boy gets 3 stickers.
Each girl gets 4 stickers.
In total, the boys get 16 more stickers than the girls.
- How many girls are there?
- How many boys are there?
- How many stickers do the girls get?
- How many stickers do the children get?
Number of boys |
Total stickers that the boys get |
Number of girls |
Total stickers that the girls get |
More stickers for the boys than the girls |
17 |
17 x 3 = 51 |
0 |
0 x 4 = 0 |
51 - 0 = 51 |
16 |
16 x 3 = 48 |
1 |
1 x 4 = 4 |
48 - 4 = 44 |
12 |
12 x 3 = 36 |
5 |
5 x 4 = 20 |
36 - 20 = 16 |
(a)
Number of more stickers for the boys than the girls if all the students are boys,
= 17 x 3
= 51
Number of more stickers for the boys than the girls if one boy is replaced by a girl
= 16 x 3 - 1 x 4
= 48 - 4
= 44
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 51 - 16
= 35
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 3 + 4
= 7
Number of girls
= 35 ÷ 7
= 5
(b)
Number of boys
= 17 - 5
= 12
(c)
Number of stickers that the girls get
= 5 x 4
= 20
(d)
Number of stickers that the boys get
= 12 x 3
= 36
Total number of stickers
= 20 + 36
= 56
Answer(s): (a) 5; (b) 12; (c) 20; (d) 56