Bryan and Adam have some money in the ratio of 3 : 1
After Bryan spends $220,
the amount that Bryan has becomes is
12 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 |
1 x 2 = 2 u |
Change |
- $220 |
No change |
After |
1 x 1 = 1 u |
2 x 1 = 2 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 1 and 2.
LCM of 1 and 2 = 2
Amount that Bryan receives
= 6 u - 1 u
= 5 u
5 u = 220
1 u = 220 ÷ 5 = 44
(a)
Amount that Bryan has at first
= 6 u
= 6 x 44
= $264
(b)
Amount that Adam has
= 2 u
= 2 x 44
= $88
(c)
Amount that Bryan has less than Adam in the end
= 2 u - 1 u
= 1 u
= 1 x 44
= $44
Answer(s): (a) $264; (b) $88; (c) $44