Bryan and Adam have some money in the ratio of 3 : 2
After Bryan spends $180,
the amount that Bryan has becomes is
35 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 5 = 15 u |
2 x 5 = 10 u |
Change |
- $180 |
No change |
After |
3 x 2 = 6 u |
5 x 2 = 10 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 2 and 5.
LCM of 2 and 5 = 10
Amount that Bryan receives
= 15 u - 6 u
= 9 u
9 u = 180
1 u = 180 ÷ 9 = 20
(a)
Amount that Bryan has at first
= 15 u
= 15 x 20
= $300
(b)
Amount that Adam has
= 10 u
= 10 x 20
= $200
(c)
Amount that Bryan has less than Adam in the end
= 10 u - 6 u
= 4 u
= 4 x 20
= $80
Answer(s): (a) $300; (b) $200; (c) $80