Bryan and Adam have some money in the ratio of 5 : 3
After Bryan spends $390,
the amount that Bryan has becomes is
45 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 |
5 x 5 = 25 u |
3 x 5 = 15 u |
Change |
- $390 |
No change |
After |
4 x 3 = 12 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
= 25 u - 12 u
= 13 u
13 u = 390
1 u = 390 ÷ 13 = 30
(a)
Amount that Bryan has at first
= 25 u
= 25 x 30
= $750
(b)
Amount that Adam has
= 15 u
= 15 x 30
= $450
(c)
Amount that Bryan has less than Adam in the end
= 15 u - 12 u
= 3 u
= 3 x 30
= $90
Answer(s): (a) $750; (b) $450; (c) $90