Charlie and Bryan have some stickers in the ratio of 5 : 6.
When Charlie gives away 65 stickers,
the ratio of the stickers becomes 2 : 5.
- How many stickers do they have at first?
- How many stickers do they have in the end?
|
Charlie |
Bryan |
Before |
5 x 5 = 25 u |
6 x 5 = 30 u |
Change |
- 65 |
No change |
After |
2 x 6 = 12 u |
5 x 6 = 30 u |
(a)
The number of stickers that Bryan has remains unchanged.
Make the number of stickers that Bryan has the same using LCM of 6 and 5.
LCM of 6 and 5 = 30
Number of stickers that Charlie gives away
= 25 u - 12 u
= 13 u
13 u = 65
1 u = 65 ÷ 13 = 5
Number of stickers that they have at first
= 25 u + 30 u
= 55 u
= 55 x 5
= 275
(b)
Number of stickers that they have in the end
= 12 u + 30 u
= 42 u
= 42 x 5
= 210
Answer(s): (a) 275; (b) 210