Adam and Bryan have some money in the ratio of 4 : 1
After Adam spends $390,
the amount that Adam has becomes is
23 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 3 = 12 u |
1 x 3 = 3 u |
Change |
- $390 |
No change |
After |
2 x 1 = 2 u |
3 x 1 = 3 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 1 and 3.
LCM of 1 and 3 = 3
Amount that Adam receives
= 12 u - 2 u
= 10 u
10 u = 390
1 u = 390 ÷ 10 = 39
(a)
Amount that Adam has at first
= 12 u
= 12 x 39
= $468
(b)
Amount that Bryan has
= 3 u
= 3 x 39
= $117
(c)
Amount that Adam has less than Bryan in the end
= 3 u - 2 u
= 1 u
= 1 x 39
= $39
Answer(s): (a) $468; (b) $117; (c) $39