Bryan and Adam have some money in the ratio of 1 : 8
After Bryan receives $390,
the amount that Bryan has becomes is
34 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 1 = 1 u |
8 x 1 = 8 u |
Change |
+ $390 |
No change |
After |
3 x 2 = 6 u |
4 x 2 = 8 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 8 and 4.
LCM of 8 and 4 = 8
Amount that Bryan receives
= 6 u - 1 u
= 5 u
5 u = 390
1 u = 390 ÷ 5 = 78
(a)
Amount that Bryan has at first
= 1 u
= 1 x 78
= $78
(b)
Amount that Adam has
= 8 u
= 8 x 78
= $624
(c)
Amount that Bryan has less than Adam in the end
= 8 u - 6 u
= 2 u
= 2 x 78
= $156
Answer(s): (a) $78; (b) $624; (c) $156