Adam and Bryan have some money in the ratio of 5 : 4
After Adam spends $270,
the amount that Adam has becomes is
45 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 |
5 x 5 = 25 u |
4 x 5 = 20 u |
Change |
- $270 |
No change |
After |
4 x 4 = 16 u |
5 x 4 = 20 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 4 and 5.
LCM of 4 and 5 = 20
Amount that Adam receives
= 25 u - 16 u
= 9 u
9 u = 270
1 u = 270 ÷ 9 = 30
(a)
Amount that Adam has at first
= 25 u
= 25 x 30
= $750
(b)
Amount that Bryan has
= 20 u
= 20 x 30
= $600
(c)
Amount that Adam has less than Bryan in the end
= 20 u - 16 u
= 4 u
= 4 x 30
= $120
Answer(s): (a) $750; (b) $600; (c) $120