16 students share some stickers.
Each girl gets 3 stickers.
Each boy gets 4 stickers.
In total, the girls get 43 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 |
13
|
13 x 4 = 52 |
3
|
3 x 3 = 9 |
52 - 9 = 43 |
(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 - 43
= 21
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 3 + 4
= 7
Number of girls
= 21 ÷ 7
= 3
(b)
Number of boys
= 16 - 3
= 13
(c)
Number of stickers that the boys get
= 13 x 4
= 52
(d)
Number of stickers that the girls get
= 3 x 3
= 9
Total number of stickers
= 52 + 9
= 61
Answer(s): (a) 3; (b) 13; (c) 52; (d) 61