Adam and Bryan have some money in the ratio of 4 : 3
After Adam spends $320,
the amount that Adam has becomes is
47 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 |
4 x 7 = 28 u |
3 x 7 = 21 u |
Change |
- $320 |
No change |
After |
4 x 3 = 12 u |
7 x 3 = 21 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 3 and 7.
LCM of 3 and 7 = 21
Amount that Adam receives
= 28 u - 12 u
= 16 u
16 u = 320
1 u = 320 ÷ 16 = 20
(a)
Amount that Adam has at first
= 28 u
= 28 x 20
= $560
(b)
Amount that Bryan has
= 21 u
= 21 x 20
= $420
(c)
Amount that Adam has less than Bryan in the end
= 21 u - 12 u
= 9 u
= 9 x 20
= $180
Answer(s): (a) $560; (b) $420; (c) $180