Adam and Bryan have some stickers in the ratio of 7 : 6.
When Adam buys another 35 stickers,
the ratio of the stickers becomes 7 : 4.
- How many stickers do they have at first?
- How many stickers do they have in the end?
|
Bryan |
Charlie |
Before |
7 x 2 = 14 u |
6 x 2 = 12 u |
Change |
+ 35 |
No change |
After |
7 x 3 = 21 u |
4 x 3 = 12 u |
(a)
The number of stickers that Charlie has remains unchanged.
Make the number of stickers that Charlie has the same using LCM of 6 and 4.
LCM of 6 and 4 = 12
Number of stickers that Bryan buys
= 21 u - 14 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Number of stickers that they have at first
= 14 u + 12 u
= 26 u
= 26 x 5
= 130
(b)
Number of stickers that they have in the end
= 21 u + 12 u
= 33 u
= 33 x 5
= 165
Answer(s): (a) 130; (b) 165