Bryan and Adam have some money in the ratio of 1 : 3
After Bryan receives $260,
the amount that Bryan has becomes is
35 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 5 = 5 u |
3 x 5 = 15 u |
Change |
+ $260 |
No change |
After |
3 x 3 = 9 u |
5 x 3 = 15 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 3 and 5.
LCM of 3 and 5 = 15
Amount that Bryan receives
= 9 u - 5 u
= 4 u
4 u = 260
1 u = 260 ÷ 4 = 65
(a)
Amount that Bryan has at first
= 5 u
= 5 x 65
= $325
(b)
Amount that Adam has
= 15 u
= 15 x 65
= $975
(c)
Amount that Bryan has less than Adam in the end
= 15 u - 9 u
= 6 u
= 6 x 65
= $390
Answer(s): (a) $325; (b) $975; (c) $390