Adam and Bryan have some money in the ratio of 1 : 4
After Adam receives $110,
the amount that Adam has becomes is
45 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 5 = 5 u |
4 x 5 = 20 u |
Change |
+ $110 |
No change |
After |
4 x 4 = 16 u |
5 x 4 = 20 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 4 and 5.
LCM of 4 and 5 = 20
Amount that Adam receives
= 16 u - 5 u
= 11 u
11 u = 110
1 u = 110 ÷ 11 = 10
(a)
Amount that Adam has at first
= 5 u
= 5 x 10
= $50
(b)
Amount that Bryan has
= 20 u
= 20 x 10
= $200
(c)
Amount that Adam has less than Bryan in the end
= 20 u - 16 u
= 4 u
= 4 x 10
= $40
Answer(s): (a) $50; (b) $200; (c) $40