Bryan and Adam have some money in the ratio of 6 : 5
After Bryan spends $400,
the amount that Bryan has becomes is
23 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 |
6 x 3 = 18 u |
5 x 3 = 15 u |
Change |
- $400 |
No change |
After |
2 x 5 = 10 u |
3 x 5 = 15 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 5 and 3.
LCM of 5 and 3 = 15
Amount that Bryan receives
= 18 u - 10 u
= 8 u
8 u = 400
1 u = 400 ÷ 8 = 50
(a)
Amount that Bryan has at first
= 18 u
= 18 x 50
= $900
(b)
Amount that Adam has
= 15 u
= 15 x 50
= $750
(c)
Amount that Bryan has less than Adam in the end
= 15 u - 10 u
= 5 u
= 5 x 50
= $250
Answer(s): (a) $900; (b) $750; (c) $250