Bryan and Adam have some money in the ratio of 4 : 1
After Bryan spends $100,
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 |
4 x 3 = 12 u |
1 x 3 = 3 u |
Change |
- $100 |
No change |
After |
2 x 1 = 2 u |
3 x 1 = 3 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 1 and 3.
LCM of 1 and 3 = 3
Amount that Bryan receives
= 12 u - 2 u
= 10 u
10 u = 100
1 u = 100 ÷ 10 = 10
(a)
Amount that Bryan has at first
= 12 u
= 12 x 10
= $120
(b)
Amount that Adam has
= 3 u
= 3 x 10
= $30
(c)
Amount that Bryan has less than Adam in the end
= 3 u - 2 u
= 1 u
= 1 x 10
= $10
Answer(s): (a) $120; (b) $30; (c) $10