Adam and Bryan have some money in the ratio of 3 : 2
After Adam spends $180,
the amount that Adam has becomes is
23 that of Bryan's.
- How much does Adam have at first?
- How much does Bryan have?
- How much less does Adam have than Bryan in the end?
|
Adam |
Bryan |
Before |
3 x 3 = 9 u |
2 x 3 = 6 u |
Change |
- $180 |
No change |
After |
2 x 2 = 4 u |
3 x 2 = 6 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 2 and 3.
LCM of 2 and 3 = 6
Amount that Adam receives
= 9 u - 4 u
= 5 u
5 u = 180
1 u = 180 ÷ 5 = 36
(a)
Amount that Adam has at first
= 9 u
= 9 x 36
= $324
(b)
Amount that Bryan has
= 6 u
= 6 x 36
= $216
(c)
Amount that Adam has less than Bryan in the end
= 6 u - 4 u
= 2 u
= 2 x 36
= $72
Answer(s): (a) $324; (b) $216; (c) $72