Charlie, Adam and Bryan have some stickers in the ratio of 10 : 1 : 4.
Charlie gives Adam and Bryan a total of 90 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 |
10 u |
1 u |
4 u |
Change |
- 5 u |
+ 4 u |
+ 1 u |
After |
5 u |
5 u |
5 u |
(a)
Total number of stickers
= 10 u + 1 u + 4 u
= 15 u
Number of stickers that each must have to be the same number
= 15 u ÷ 3
= 5 u
Number of stickers that Charlie gives away
= 10 u - 5 u
= 5 u
5 u = 90
1 u = 90 ÷ 5 = 18
Total number of stickers
= 15 u
= 15 x 18
= 270
(b)
Number of stickers that Charlie gives to Adam
= 5 u - 1 u
= 4 u
= 4 x 18
= 72
(c)
Number of stickers that Charlie gives to Bryan
= 5 u - 4 u
= 1 u
= 1 x 18
= 18
Answer(s): (a) 270; (b) 72; (c) 18