Adam and Bryan have some money in the ratio of 4 : 3
After Adam spends $400,
the amount that Adam has becomes is
12 that of Bryan's.
- How much does Adam have at first?
- How much does Bryan have?
- How much less does Adam have than Bryan in the end?
|
Adam |
Bryan |
Before |
4 x 2 = 8 u |
3 x 2 = 6 u |
Change |
- $400 |
No change |
After |
1 x 3 = 3 u |
2 x 3 = 6 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 3 and 2.
LCM of 3 and 2 = 6
Amount that Adam receives
= 8 u - 3 u
= 5 u
5 u = 400
1 u = 400 ÷ 5 = 80
(a)
Amount that Adam has at first
= 8 u
= 8 x 80
= $640
(b)
Amount that Bryan has
= 6 u
= 6 x 80
= $480
(c)
Amount that Adam has less than Bryan in the end
= 6 u - 3 u
= 3 u
= 3 x 80
= $240
Answer(s): (a) $640; (b) $480; (c) $240