Adam and Bryan have some stickers in the ratio of 5 : 8.
When Adam buys another 90 stickers,
the ratio of the stickers becomes 5 : 6.
- How many stickers do they have at first?
- How many stickers do they have in the end?
|
Charlie |
Bryan |
Before |
5 x 3 = 15 u |
8 x 3 = 24 u |
Change |
+ 90 |
No change |
After |
5 x 4 = 20 u |
6 x 4 = 24 u |
(a)
The number of stickers that Bryan has remains unchanged.
Make the number of stickers that Bryan has the same using LCM of 8 and 6.
LCM of 8 and 6 = 24
Number of stickers that Charlie buys
= 20 u - 15 u
= 5 u
5 u = 90
1 u = 90 ÷ 5 = 18
Number of stickers that they have at first
= 15 u + 24 u
= 39 u
= 39 x 18
= 702
(b)
Number of stickers that they have in the end
= 20 u + 24 u
= 44 u
= 44 x 18
= 792
Answer(s): (a) 702; (b) 792