Adam and Bryan have some money in the ratio of 3 : 8
After Adam receives $220,
the amount that Adam has becomes is
56 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 |
8 x 3 = 24 u |
Change |
+ $220 |
No change |
After |
5 x 4 = 20 u |
6 x 4 = 24 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 8 and 6.
LCM of 8 and 6 = 24
Amount that Adam receives
= 20 u - 9 u
= 11 u
11 u = 220
1 u = 220 ÷ 11 = 20
(a)
Amount that Adam has at first
= 9 u
= 9 x 20
= $180
(b)
Amount that Bryan has
= 24 u
= 24 x 20
= $480
(c)
Amount that Adam has less than Bryan in the end
= 24 u - 20 u
= 4 u
= 4 x 20
= $80
Answer(s): (a) $180; (b) $480; (c) $80