Adam and Bryan have some stickers in the ratio of 2 : 5.
When Adam buys another 36 stickers,
the ratio of the stickers becomes 2 : 3.
- How many stickers do they have at first?
- How many stickers do they have in the end?
|
Adam |
Bryan |
Before |
2 x 3 = 6 u |
5 x 3 = 15 u |
Change |
+ 36 |
No change |
After |
2 x 5 = 10 u |
3 x 5 = 15 u |
(a)
The number of stickers that Bryan has remains unchanged.
Make the number of stickers that Bryan has the same using LCM of 5 and 3.
LCM of 5 and 3 = 15
Number of stickers that Adam buys
= 10 u - 6 u
= 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
Number of stickers that they have at first
= 6 u + 15 u
= 21 u
= 21 x 9
= 189
(b)
Number of stickers that they have in the end
= 10 u + 15 u
= 25 u
= 25 x 9
= 225
Answer(s): (a) 189; (b) 225