Adam and Bryan have some money in the ratio of 1 : 4
After Adam receives $280,
the amount that Adam has becomes is
35 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 |
1 x 5 = 5 u |
4 x 5 = 20 u |
Change |
+ $280 |
No change |
After |
3 x 4 = 12 u |
5 x 4 = 20 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 4 and 5.
LCM of 4 and 5 = 20
Amount that Adam receives
= 12 u - 5 u
= 7 u
7 u = 280
1 u = 280 ÷ 7 = 40
(a)
Amount that Adam has at first
= 5 u
= 5 x 40
= $200
(b)
Amount that Bryan has
= 20 u
= 20 x 40
= $800
(c)
Amount that Adam has less than Bryan in the end
= 20 u - 12 u
= 8 u
= 8 x 40
= $320
Answer(s): (a) $200; (b) $800; (c) $320