Adam and Bryan have some money in the ratio of 1 : 4
After Adam receives $150,
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 |
1 x 3 = 3 u |
4 x 3 = 12 u |
Change |
+ $150 |
No change |
After |
2 x 4 = 8 u |
3 x 4 = 12 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 4 and 3.
LCM of 4 and 3 = 12
Amount that Adam receives
= 8 u - 3 u
= 5 u
5 u = 150
1 u = 150 ÷ 5 = 30
(a)
Amount that Adam has at first
= 3 u
= 3 x 30
= $90
(b)
Amount that Bryan has
= 12 u
= 12 x 30
= $360
(c)
Amount that Adam has less than Bryan in the end
= 12 u - 8 u
= 4 u
= 4 x 30
= $120
Answer(s): (a) $90; (b) $360; (c) $120