Adam and Bryan have some stickers in the ratio of 5 : 4.
When Adam buys another 95 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?
|
Bryan |
Charlie |
Before |
5 x 1 = 5 u |
4 x 1 = 4 u |
Change |
+ 95 |
No change |
After |
5 x 2 = 10 u |
2 x 2 = 4 u |
(a)
The number of stickers that Charlie has remains unchanged.
Make the number of stickers that Charlie has the same using LCM of 4 and 2.
LCM of 4 and 2 = 4
Number of stickers that Bryan buys
= 10 u - 5 u
= 5 u
5 u = 95
1 u = 95 ÷ 5 = 19
Number of stickers that they have at first
= 5 u + 4 u
= 9 u
= 9 x 19
= 171
(b)
Number of stickers that they have in the end
= 10 u + 4 u
= 14 u
= 14 x 19
= 266
Answer(s): (a) 171; (b) 266