15 students share some stickers.
Each girl gets 3 stickers.
Each boy gets 5 stickers.
In total, the girls get 35 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 |
15
|
15 x 5 = 75 |
0
|
0 x 3 = 0 |
75 - 0 = 75 |
14
|
14 x 5 = 70 |
1
|
1 x 3 = 3 |
70 - 3 = 67 |
10
|
10 x 5 = 50 |
5
|
5 x 3 = 15 |
50 - 15 = 35 |
(a)
Total number of stickers that the students will get if all the students are boys
= 15 x 5
= 75
Total number of less stickers for the girls than the boys if one boy is replaced by a girl
= 14 x 5 - 1 x 3
= 70 - 3
= 67
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 75 - 35
= 40
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 3 + 5
= 8
Number of girls
= 40 ÷ 8
= 5
(b)
Number of boys
= 15 - 5
= 10
(c)
Number of stickers that the boys get
= 10 x 5
= 50
(d)
Number of stickers that the girls get
= 5 x 3
= 15
Total number of stickers
= 50 + 15
= 65
Answer(s): (a) 5; (b) 10; (c) 50; (d) 65