Adam and Bryan have some money in the ratio of 1 : 3
After Adam receives $140,
the amount that Adam has becomes is
34 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 |
1 x 4 = 4 u |
3 x 4 = 12 u |
Change |
+ $140 |
No change |
After |
3 x 3 = 9 u |
4 x 3 = 12 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 3 and 4.
LCM of 3 and 4 = 12
Amount that Adam receives
= 9 u - 4 u
= 5 u
5 u = 140
1 u = 140 ÷ 5 = 28
(a)
Amount that Adam has at first
= 4 u
= 4 x 28
= $112
(b)
Amount that Bryan has
= 12 u
= 12 x 28
= $336
(c)
Amount that Adam has less than Bryan in the end
= 12 u - 9 u
= 3 u
= 3 x 28
= $84
Answer(s): (a) $112; (b) $336; (c) $84