Adam and Bryan have some money in the ratio of 7 : 5
After Adam gives
25 of his money to Bryan,
Adam has $270 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 |
7 u |
5 u |
12 u |
Change |
- 2.8 u |
+ 2.8 u |
|
After |
4.2 u |
7.8 u |
12 u |
The total amount that the 2 boys have remains the same.
Amount that Adam gives to Bryan
=
25 x 7 u
= 2.8 u
Amount that Adam has less than Bryan in the end
= 7.8 u - 4.2 u
= 3.6 u
3.6 u = 270
1 u = 270 ÷ 3.6 = 75
(a)
Amount that Bryan has at first
= 5 u
= 5 x 75
= $375
(b)
Amount that Adam has in the end
= 4.2 u
= 4.2 x 75
= $315
(c)
Amount that Adam gives to Bryan
= 2.8 u
= 2.8 x 75
= $210
Answer(s): (a) $375; (b) $315; (c) $210