Bryan and Adam have some money in the ratio of 1 : 2
After Bryan receives $260,
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 |
2 x 3 = 6 u |
Change |
+ $260 |
No change |
After |
5 x 1 = 5 u |
6 x 1 = 6 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 2 and 6.
LCM of 2 and 6 = 6
Amount that Bryan receives
= 5 u - 3 u
= 2 u
2 u = 260
1 u = 260 ÷ 2 = 130
(a)
Amount that Bryan has at first
= 3 u
= 3 x 130
= $390
(b)
Amount that Adam has
= 6 u
= 6 x 130
= $780
(c)
Amount that Bryan has less than Adam in the end
= 6 u - 5 u
= 1 u
= 1 x 130
= $130
Answer(s): (a) $390; (b) $780; (c) $130