Bryan and Adam have some money in the ratio of 4 : 3
After Bryan spends $100,
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 |
4 x 2 = 8 u |
3 x 2 = 6 u |
Change |
- $100 |
No change |
After |
1 x 3 = 3 u |
2 x 3 = 6 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 3 and 2.
LCM of 3 and 2 = 6
Amount that Bryan receives
= 8 u - 3 u
= 5 u
5 u = 100
1 u = 100 ÷ 5 = 20
(a)
Amount that Bryan has at first
= 8 u
= 8 x 20
= $160
(b)
Amount that Adam has
= 6 u
= 6 x 20
= $120
(c)
Amount that Bryan has less than Adam in the end
= 6 u - 3 u
= 3 u
= 3 x 20
= $60
Answer(s): (a) $160; (b) $120; (c) $60