Adam and Bryan have some money in the ratio of 7 : 4
After Adam spends $230,
the amount that Adam has becomes is
12 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 |
7 x 1 = 7 u |
4 x 1 = 4 u |
Change |
- $230 |
No change |
After |
1 x 2 = 2 u |
2 x 2 = 4 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 4 and 2.
LCM of 4 and 2 = 4
Amount that Adam receives
= 7 u - 2 u
= 5 u
5 u = 230
1 u = 230 ÷ 5 = 46
(a)
Amount that Adam has at first
= 7 u
= 7 x 46
= $322
(b)
Amount that Bryan has
= 4 u
= 4 x 46
= $184
(c)
Amount that Adam has less than Bryan in the end
= 4 u - 2 u
= 2 u
= 2 x 46
= $92
Answer(s): (a) $322; (b) $184; (c) $92