Bryan and Adam have some money in the ratio of 1 : 6
After Bryan receives $330,
the amount that Bryan has becomes is
58 that of Adam's.
- How much does Bryan have at first?
- How much does Adam have?
- How much less does Bryan have than Adam in the end?
|
Bryan |
Adam |
Before |
1 x 4 = 4 u |
6 x 4 = 24 u |
Change |
+ $330 |
No change |
After |
5 x 3 = 15 u |
8 x 3 = 24 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 6 and 8.
LCM of 6 and 8 = 24
Amount that Bryan receives
= 15 u - 4 u
= 11 u
11 u = 330
1 u = 330 ÷ 11 = 30
(a)
Amount that Bryan has at first
= 4 u
= 4 x 30
= $120
(b)
Amount that Adam has
= 24 u
= 24 x 30
= $720
(c)
Amount that Bryan has less than Adam in the end
= 24 u - 15 u
= 9 u
= 9 x 30
= $270
Answer(s): (a) $120; (b) $720; (c) $270