Adam and Bryan have some money in the ratio of 6 : 5
After Adam gives
14 of his money to Bryan,
Adam has $180 less than Bryan in the end.
- How much does Bryan have at first?
- How much does Adam have in the end?
- How much does Adam give to Bryan?
|
Adam |
Bryan |
Total |
Before |
6 u |
5 u |
11 u |
Change |
- 1.5 u |
+ 1.5 u |
|
After |
4.5 u |
6.5 u |
11 u |
The total amount that the 2 boys have remains the same.
Amount that Adam gives to Bryan
=
14 x 6 u
= 1.5 u
Amount that Adam has less than Bryan in the end
= 6.5 u - 4.5 u
= 2 u
2 u = 180
1 u = 180 ÷ 2 = 90
(a)
Amount that Bryan has at first
= 5 u
= 5 x 90
= $450
(b)
Amount that Adam has in the end
= 4.5 u
= 4.5 x 90
= $405
(c)
Amount that Adam gives to Bryan
= 1.5 u
= 1.5 x 90
= $135
Answer(s): (a) $450; (b) $405; (c) $135