The ratio of David's money to Luke's money is 3 : 11. If Luke has $429, how much must he give to David so both will have the equal amount of money?
| |
David |
Luke |
Total |
| Before |
3 u |
11 u |
14 u |
| Change |
+ 4 u |
- 4 u |
|
| After |
7 u |
7 u |
14 u |
Comparing David and
Luke in the end |
1 |
1 |
|
Amount that Luke has at first = 11 u
11 u = 429
1 u = 429 ÷ 11 = 39
Total amount that Luke and David have
= 3 u + 11 u
= 14 u
Amount that each of them will have in the end
= 14 u ÷ 2
= 7 u
Amount that Luke must give to David
= 7 u - 3 u
= 4 u
= 4 x 39
= $156
Answer(s): $156
