Charlie, Adam and Bryan have some stickers in the ratio of 13 : 1 : 4.
Charlie gives Adam and Bryan a total of 77 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 |
13 u |
1 u |
4 u |
Change |
- 7 u |
+ 5 u |
+ 2 u |
After |
6 u |
6 u |
6 u |
(a)
Total number of stickers
= 13 u + 1 u + 4 u
= 18 u
Number of stickers that each must have to be the same number
= 18 u ÷ 3
= 6 u
Number of stickers that Charlie gives away
= 13 u - 6 u
= 7 u
7 u = 77
1 u = 77 ÷ 7 = 11
Total number of stickers
= 18 u
= 18 x 11
= 198
(b)
Number of stickers that Charlie gives to Adam
= 6 u - 1 u
= 5 u
= 5 x 11
= 55
(c)
Number of stickers that Charlie gives to Bryan
= 6 u - 4 u
= 2 u
= 2 x 11
= 22
Answer(s): (a) 198; (b) 55; (c) 22