Bryan and Adam have some money in the ratio of 1 : 4
After Bryan receives $280,
the amount that Bryan has becomes is
56 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 |
1 x 3 = 3 u |
4 x 3 = 12 u |
Change |
+ $280 |
No change |
After |
5 x 2 = 10 u |
6 x 2 = 12 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 4 and 6.
LCM of 4 and 6 = 12
Amount that Bryan receives
= 10 u - 3 u
= 7 u
7 u = 280
1 u = 280 ÷ 7 = 40
(a)
Amount that Bryan has at first
= 3 u
= 3 x 40
= $120
(b)
Amount that Adam has
= 12 u
= 12 x 40
= $480
(c)
Amount that Bryan has less than Adam in the end
= 12 u - 10 u
= 2 u
= 2 x 40
= $80
Answer(s): (a) $120; (b) $480; (c) $80