Adam and Bryan have some money in the ratio of 1 : 4
After Adam receives $330,
the amount that Adam has becomes is
58 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 2 = 2 u |
4 x 2 = 8 u |
Change |
+ $330 |
No change |
After |
5 x 1 = 5 u |
8 x 1 = 8 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 4 and 8.
LCM of 4 and 8 = 8
Amount that Adam receives
= 5 u - 2 u
= 3 u
3 u = 330
1 u = 330 ÷ 3 = 110
(a)
Amount that Adam has at first
= 2 u
= 2 x 110
= $220
(b)
Amount that Bryan has
= 8 u
= 8 x 110
= $880
(c)
Amount that Adam has less than Bryan in the end
= 8 u - 5 u
= 3 u
= 3 x 110
= $330
Answer(s): (a) $220; (b) $880; (c) $330