Bryan and Adam have some money in the ratio of 3 : 8
After Bryan receives $140,
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 |
3 x 3 = 9 u |
8 x 3 = 24 u |
Change |
+ $140 |
No change |
After |
2 x 8 = 16 u |
3 x 8 = 24 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 8 and 3.
LCM of 8 and 3 = 24
Amount that Bryan receives
= 16 u - 9 u
= 7 u
7 u = 140
1 u = 140 ÷ 7 = 20
(a)
Amount that Bryan has at first
= 9 u
= 9 x 20
= $180
(b)
Amount that Adam has
= 24 u
= 24 x 20
= $480
(c)
Amount that Bryan has less than Adam in the end
= 24 u - 16 u
= 8 u
= 8 x 20
= $160
Answer(s): (a) $180; (b) $480; (c) $160