Adam and Bryan have some money in the ratio of 7 : 3
After Adam gives
12 of his money to Bryan,
Adam has $150 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 |
3 u |
10 u |
Change |
- 3.5 u |
+ 3.5 u |
|
After |
3.5 u |
6.5 u |
10 u |
The total amount that the 2 boys have remains the same.
Amount that Adam gives to Bryan
=
12 x 7 u
= 3.5 u
Amount that Adam has less than Bryan in the end
= 6.5 u - 3.5 u
= 3 u
3 u = 150
1 u = 150 ÷ 3 = 50
(a)
Amount that Bryan has at first
= 3 u
= 3 x 50
= $150
(b)
Amount that Adam has in the end
= 3.5 u
= 3.5 x 50
= $175
(c)
Amount that Adam gives to Bryan
= 3.5 u
= 3.5 x 50
= $175
Answer(s): (a) $150; (b) $175; (c) $175