Adam and Bryan have some money in the ratio of 4 : 3
After Adam spends $230,
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 |
4 x 8 = 32 u |
3 x 8 = 24 u |
Change |
- $230 |
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 3 and 8.
LCM of 3 and 8 = 24
Amount that Adam receives
= 32 u - 9 u
= 23 u
23 u = 230
1 u = 230 ÷ 23 = 10
(a)
Amount that Adam has at first
= 32 u
= 32 x 10
= $320
(b)
Amount that Bryan has
= 24 u
= 24 x 10
= $240
(c)
Amount that Adam has less than Bryan in the end
= 24 u - 9 u
= 15 u
= 15 x 10
= $150
Answer(s): (a) $320; (b) $240; (c) $150