Bryan and Adam have some money in the ratio of 4 : 3
After Bryan spends $350,
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 |
4 x 4 = 16 u |
3 x 4 = 12 u |
Change |
- $350 |
No change |
After |
3 x 3 = 9 u |
4 x 3 = 12 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 3 and 4.
LCM of 3 and 4 = 12
Amount that Bryan receives
= 16 u - 9 u
= 7 u
7 u = 350
1 u = 350 ÷ 7 = 50
(a)
Amount that Bryan has at first
= 16 u
= 16 x 50
= $800
(b)
Amount that Adam has
= 12 u
= 12 x 50
= $600
(c)
Amount that Bryan has less than Adam in the end
= 12 u - 9 u
= 3 u
= 3 x 50
= $150
Answer(s): (a) $800; (b) $600; (c) $150