Bryan and Adam have some money in the ratio of 5 : 4
After Bryan spends $180,
the amount that Bryan has becomes is
45 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 |
5 x 5 = 25 u |
4 x 5 = 20 u |
Change |
- $180 |
No change |
After |
4 x 4 = 16 u |
5 x 4 = 20 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 4 and 5.
LCM of 4 and 5 = 20
Amount that Bryan receives
= 25 u - 16 u
= 9 u
9 u = 180
1 u = 180 ÷ 9 = 20
(a)
Amount that Bryan has at first
= 25 u
= 25 x 20
= $500
(b)
Amount that Adam has
= 20 u
= 20 x 20
= $400
(c)
Amount that Bryan has less than Adam in the end
= 20 u - 16 u
= 4 u
= 4 x 20
= $80
Answer(s): (a) $500; (b) $400; (c) $80