Adam and Bryan have some stickers in the ratio of 3 : 2.
When Adam gives away 99 stickers,
the ratio of the stickers becomes 3 : 5.
- How many stickers do they have at first?
- How many stickers do they have in the end?
|
Adam |
Bryan |
Before |
3 x 5 = 15 u |
2 x 5 = 10 u |
Change |
- 99 |
No change |
After |
3 x 2 = 6 u |
5 x 2 = 10 u |
(a)
The number of stickers that Bryan has remains unchanged.
Make the number of stickers that Bryan has the same using LCM of 2 and 5.
LCM of 2 and 5 = 10
Number of stickers that Adam gives away
= 15 u - 6 u
= 9 u
9 u = 99
1 u = 99 ÷ 9 = 11
Number of stickers that they have at first
= 15 u + 10 u
= 25 u
= 25 x 11
= 275
(b)
Number of stickers that they have in the end
= 6 u + 10 u
= 16 u
= 16 x 11
= 176
Answer(s): (a) 275; (b) 176