Charlie, Adam and Bryan have some stickers in the ratio of 11 : 4 : 6.
Charlie gives Adam and Bryan a total of 116 stickers.
Now they have same number of stickers.
- What is the total number of stickers that they have?
- What is the number of stickers that Charlie gives to Adam?
- What is the number of stickers that Charlie gives to Bryan?
|
Charlie |
Adam |
Bryan |
Before |
11 u |
4 u |
6 u |
Change |
- 4 u |
+ 3 u |
+ 1 u |
After |
7 u |
7 u |
7 u |
(a)
Total number of stickers
= 11 u + 4 u + 6 u
= 21 u
Number of stickers that each must have to be the same number
= 21 u ÷ 3
= 7 u
Number of stickers that Charlie gives away
= 11 u - 7 u
= 4 u
4 u = 116
1 u = 116 ÷ 4 = 29
Total number of stickers
= 21 u
= 21 x 29
= 609
(b)
Number of stickers that Charlie gives to Adam
= 7 u - 4 u
= 3 u
= 3 x 29
= 87
(c)
Number of stickers that Charlie gives to Bryan
= 7 u - 6 u
= 1 u
= 1 x 29
= 29
Answer(s): (a) 609; (b) 87; (c) 29