Bryan and Adam have some money in the ratio of 3 : 2
After Bryan spends $390,
the amount that Bryan has becomes is
47 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 |
3 x 7 = 21 u |
2 x 7 = 14 u |
Change |
- $390 |
No change |
After |
4 x 2 = 8 u |
7 x 2 = 14 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 2 and 7.
LCM of 2 and 7 = 14
Amount that Bryan receives
= 21 u - 8 u
= 13 u
13 u = 390
1 u = 390 ÷ 13 = 30
(a)
Amount that Bryan has at first
= 21 u
= 21 x 30
= $630
(b)
Amount that Adam has
= 14 u
= 14 x 30
= $420
(c)
Amount that Bryan has less than Adam in the end
= 14 u - 8 u
= 6 u
= 6 x 30
= $180
Answer(s): (a) $630; (b) $420; (c) $180