Luke and Howard had some money at first. Luke received 3 times as much money as Howard every day. At the end of 4 days, both of them had the same amount of money. If Howard had $1440 at first and Luke had $1620 at the end of those 4 days, what is the ratio of Luke's money to the total amount of money at first?
| |
Luke |
Howard |
| Before |
? |
$1440 |
| Change |
+ 3 u |
+ 1 u |
| After |
$1620 |
$1620 |
Amount that Howard received every day
= 1620 - 1440
= $180
1 u = 180
Amount that Luke received every day
= 3 u
= 3 x 180
= $540
Amount that Luke had at first
= 1620 - 540
= $1080
Total amount that Luke and Howard had at first
= 1440 + 1080
= $2520
Luke's amount : Total amount
1080 : 2520
3 : 7
Answer(s): 3 : 7
