Adam and Bryan have some stickers in the ratio of 8 : 5.
When Adam buys another 54 stickers,
the ratio of the stickers becomes 5 : 2.
- How many stickers do they have at first?
- How many stickers do they have in the end?
|
Charlie |
Adam |
Before |
8 x 2 = 16 u |
5 x 2 = 10 u |
Change |
+ 54 |
No change |
After |
5 x 5 = 25 u |
2 x 5 = 10 u |
(a)
The number of stickers that Adam has remains unchanged.
Make the number of stickers that Adam has the same using LCM of 5 and 2.
LCM of 5 and 2 = 10
Number of stickers that Charlie buys
= 25 u - 16 u
= 9 u
9 u = 54
1 u = 54 ÷ 9 = 6
Number of stickers that they have at first
= 16 u + 10 u
= 26 u
= 26 x 6
= 156
(b)
Number of stickers that they have in the end
= 25 u + 10 u
= 35 u
= 35 x 6
= 210
Answer(s): (a) 156; (b) 210