16 students share some stickers.
Each girl gets 3 stickers.
Each boy gets 4 stickers.
In total, the girls get 50 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 |
16
|
16 x 4 = 64 |
0
|
0 x 3 = 0 |
64 - 0 = 64 |
15
|
15 x 4 = 60 |
1
|
1 x 3 = 3 |
60 - 3 = 57 |
14
|
14 x 4 = 56 |
2
|
2 x 3 = 6 |
56 - 6 = 50 |
(a)
Total number of stickers that the students will get if all the students are boys
= 16 x 4
= 64
Total number of less stickers for the girls than the boys if one boy is replaced by a girl
= 15 x 4 - 1 x 3
= 60 - 3
= 57
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 64 - 50
= 14
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 3 + 4
= 7
Number of girls
= 14 ÷ 7
= 2
(b)
Number of boys
= 16 - 2
= 14
(c)
Number of stickers that the boys get
= 14 x 4
= 56
(d)
Number of stickers that the girls get
= 2 x 3
= 6
Total number of stickers
= 56 + 6
= 62
Answer(s): (a) 2; (b) 14; (c) 56; (d) 62