Bryan and Charlie have some stickers in the ratio of 4 : 5.
When Bryan gives away 34 stickers,
the ratio of the stickers becomes 3 : 8.
- How many stickers do they have at first?
- How many stickers do they have in the end?
|
Bryan |
Charlie |
Before |
4 x 8 = 32 u |
5 x 8 = 40 u |
Change |
- 34 |
No change |
After |
3 x 5 = 15 u |
8 x 5 = 40 u |
(a)
The number of stickers that Charlie has remains unchanged.
Make the number of stickers that Charlie has the same using LCM of 5 and 8.
LCM of 5 and 8 = 40
Number of stickers that Bryan gives away
= 32 u - 15 u
= 17 u
17 u = 34
1 u = 34 ÷ 17 = 2
Number of stickers that they have at first
= 32 u + 40 u
= 72 u
= 72 x 2
= 144
(b)
Number of stickers that they have in the end
= 15 u + 40 u
= 55 u
= 55 x 2
= 110
Answer(s): (a) 144; (b) 110