11 students share some stickers.
Each girl gets 2 stickers.
Each boy gets 3 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 |
11
|
11 x 3 = 33 |
0
|
0 x 2 = 0 |
33 - 0 = 33 |
10
|
10 x 3 = 30 |
1
|
1 x 2 = 2 |
30 - 2 = 28 |
13
|
13 x 3 = 39 |
-2
|
-2 x 2 = -4 |
39 - -4 = 43 |
(a)
Total number of stickers that the students will get if all the students are boys
= 11 x 3
= 33
Total number of less stickers for the girls than the boys if one boy is replaced by a girl
= 10 x 3 - 1 x 2
= 30 - 2
= 28
Big difference in the decrease in the number of stickers when a boy is replaced by a girl
= 33 - 43
= -10
Small difference in the decrease in the number of stickers when a boy is replaced by a girl
= 2 + 3
= 5
Number of girls
= -10 ÷ 5
= -2
(b)
Number of boys
= 11 - -2
= 13
(c)
Number of stickers that the boys get
= 13 x 3
= 39
(d)
Number of stickers that the girls get
= -2 x 2
= -4
Total number of stickers
= 39 + -4
= 35
Answer(s): (a) -2; (b) 13; (c) 39; (d) 35