Bryan and Adam have some money in the ratio of 3 : 2
After Bryan spends $110,
the amount that Bryan has becomes is
23 that of Adam's.
- How much does Bryan have at first?
- How much does Adam have?
- How much less does Bryan have than Adam in the end?
|
Bryan |
Adam |
Before |
3 x 3 = 9 u |
2 x 3 = 6 u |
Change |
- $110 |
No change |
After |
2 x 2 = 4 u |
3 x 2 = 6 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 2 and 3.
LCM of 2 and 3 = 6
Amount that Bryan receives
= 9 u - 4 u
= 5 u
5 u = 110
1 u = 110 ÷ 5 = 22
(a)
Amount that Bryan has at first
= 9 u
= 9 x 22
= $198
(b)
Amount that Adam has
= 6 u
= 6 x 22
= $132
(c)
Amount that Bryan has less than Adam in the end
= 6 u - 4 u
= 2 u
= 2 x 22
= $44
Answer(s): (a) $198; (b) $132; (c) $44