Adam and Bryan have some money in the ratio of 1 : 4
After Adam receives $240,
the amount that Adam has becomes is
25 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 |
+ $240 |
No change |
After |
2 x 4 = 8 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
= 8 u - 5 u
= 3 u
3 u = 240
1 u = 240 ÷ 3 = 80
(a)
Amount that Adam has at first
= 5 u
= 5 x 80
= $400
(b)
Amount that Bryan has
= 20 u
= 20 x 80
= $1600
(c)
Amount that Adam has less than Bryan in the end
= 20 u - 8 u
= 12 u
= 12 x 80
= $960
Answer(s): (a) $400; (b) $1600; (c) $960