Bryan and Adam have some money in the ratio of 3 : 8
After Bryan receives $220,
the amount that Bryan has becomes is
47 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 |
3 x 7 = 21 u |
8 x 7 = 56 u |
Change |
+ $220 |
No change |
After |
4 x 8 = 32 u |
7 x 8 = 56 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 8 and 7.
LCM of 8 and 7 = 56
Amount that Bryan receives
= 32 u - 21 u
= 11 u
11 u = 220
1 u = 220 ÷ 11 = 20
(a)
Amount that Bryan has at first
= 21 u
= 21 x 20
= $420
(b)
Amount that Adam has
= 56 u
= 56 x 20
= $1120
(c)
Amount that Bryan has less than Adam in the end
= 56 u - 32 u
= 24 u
= 24 x 20
= $480
Answer(s): (a) $420; (b) $1120; (c) $480