Adam and Bryan have some money in the ratio of 1 : 6
After Adam receives $180,
the amount that Adam has becomes is
38 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 4 = 4 u |
6 x 4 = 24 u |
Change |
+ $180 |
No change |
After |
3 x 3 = 9 u |
8 x 3 = 24 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 6 and 8.
LCM of 6 and 8 = 24
Amount that Adam receives
= 9 u - 4 u
= 5 u
5 u = 180
1 u = 180 ÷ 5 = 36
(a)
Amount that Adam has at first
= 4 u
= 4 x 36
= $144
(b)
Amount that Bryan has
= 24 u
= 24 x 36
= $864
(c)
Amount that Adam has less than Bryan in the end
= 24 u - 9 u
= 15 u
= 15 x 36
= $540
Answer(s): (a) $144; (b) $864; (c) $540