The ratio of Tom's money to Paul's money is 5 : 11. If Paul has $99, how much must he give to Tom so both will have the equal amount of money?
|
Tom |
Paul |
Total |
Before |
5 u |
11 u |
16 u |
Change |
+ 3 u |
- 3 u |
|
After |
8 u |
8 u |
16 u |
Comparing Tom and Paul in the end |
1 |
1 |
|
Amount that Paul has at first = 11 u
11 u = 99
1 u = 99 ÷ 11 = 9
Total amount that Paul and Tom have
= 5 u + 11 u
= 16 u
Amount that each of them will have in the end
= 16 u ÷ 2
= 8 u
Amount that Paul must give to Tom
= 8 u - 5 u
= 3 u
= 3 x 9
= $27
Answer(s): $27