19 students share some stickers.
Each girl gets 3 stickers.
Each boy gets 5 stickers.
In total, the girls get 47 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 |
19
|
19 x 5 = 95 |
0
|
0 x 3 = 0 |
95 - 0 = 95 |
18
|
18 x 5 = 90 |
1
|
1 x 3 = 3 |
90 - 3 = 87 |
13
|
13 x 5 = 65 |
6
|
6 x 3 = 18 |
65 - 18 = 47 |
(a)
Total number of stickers that the students will get if all the students are boys
= 19 x 5
= 95
Total number of less stickers for the girls than the boys if one boy is replaced by a girl
= 18 x 5 - 1 x 3
= 90 - 3
= 87
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 95 - 47
= 48
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 3 + 5
= 8
Number of girls
= 48 ÷ 8
= 6
(b)
Number of boys
= 19 - 6
= 13
(c)
Number of stickers that the boys get
= 13 x 5
= 65
(d)
Number of stickers that the girls get
= 6 x 3
= 18
Total number of stickers
= 65 + 18
= 83
Answer(s): (a) 6; (b) 13; (c) 65; (d) 83