Adam and Bryan have some money in the ratio of 9 : 2
After Adam gives
12 of his money to Bryan,
Adam has $320 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 |
9 u |
2 u |
11 u |
Change |
- 4.5 u |
+ 4.5 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
=
12 x 9 u
= 4.5 u
Amount that Adam has less than Bryan in the end
= 6.5 u - 4.5 u
= 2 u
2 u = 320
1 u = 320 ÷ 2 = 160
(a)
Amount that Bryan has at first
= 2 u
= 2 x 160
= $320
(b)
Amount that Adam has in the end
= 4.5 u
= 4.5 x 160
= $720
(c)
Amount that Adam gives to Bryan
= 4.5 u
= 4.5 x 160
= $720
Answer(s): (a) $320; (b) $720; (c) $720