Bryan and Adam have some money in the ratio of 3 : 2
After Bryan spends $270,
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 |
3 x 2 = 6 u |
2 x 2 = 4 u |
Change |
- $270 |
No change |
After |
3 x 1 = 3 u |
4 x 1 = 4 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 2 and 4.
LCM of 2 and 4 = 4
Amount that Bryan receives
= 6 u - 3 u
= 3 u
3 u = 270
1 u = 270 ÷ 3 = 90
(a)
Amount that Bryan has at first
= 6 u
= 6 x 90
= $540
(b)
Amount that Adam has
= 4 u
= 4 x 90
= $360
(c)
Amount that Bryan has less than Adam in the end
= 4 u - 3 u
= 1 u
= 1 x 90
= $90
Answer(s): (a) $540; (b) $360; (c) $90