Adam and Bryan have $30.
Adam has 5 times as much money as Bryan.
How much must Adam give to Bryan
so Adam will have $20 less than Bryan?
|
Adam |
Bryan |
Total |
Before |
5 u |
1 u |
6 u |
Change |
- ? |
+ ? |
No change |
After |
$5 |
$5 + $20 |
$30 |
At first
Adam = 5 u
Bryan = 1 u
Total = 1 u + 5 u = 6 u
6 u = 30
1 u = 30 ÷ 6 = 5
Amount that Adam has at first
= 5 u
= 5 x 5
= $25
For Adam to have $20 less than Bryan in the end, we need to set aside $20 for Bryan before the remaining amount is divided into 2.
Amount that Adam will have in the end
= (30 - 20) ÷ 2
= 10 ÷ 2
= $5
Amount that Adam gives to Bryan
= Amount that Adam at first - Amount that Adam has in the end
= 25 - 5
= $20
Answer(s): $20