The ratio of Archie's money to Ben's money is 7 : 11. If Ben has $198, how much must he give to Archie so both will have the equal amount of money?
| |
Archie |
Ben |
Total |
| Before |
7 u |
11 u |
18 u |
| Change |
+ 2 u |
- 2 u |
|
| After |
9 u |
9 u |
18 u |
Comparing Archie and
Ben in the end |
1 |
1 |
|
Amount that Ben has at first = 11 u
11 u = 198
1 u = 198 ÷ 11 = 18
Total amount that Ben and Archie have
= 7 u + 11 u
= 18 u
Amount that each of them will have in the end
= 18 u ÷ 2
= 9 u
Amount that Ben must give to Archie
= 9 u - 7 u
= 2 u
= 2 x 18
= $36
Answer(s): $36
