Vincent and Luke had some money at first. Vincent received 3 times as much money as Luke every fortnight. At the end of 6 fortnights, both of them had the same amount of money. If Luke had $1260 at first and Vincent had $1740 at the end of those 6 fortnights, what is the ratio of Vincent's money to the total amount of money at first?
|
Vincent |
Luke |
Before |
? |
$1260 |
Change |
+ 3 u |
+ 1 u |
After |
$1740 |
$1740 |
Amount that Luke received every fortnight
= 1740 - 1260
= $480
1 u = 480
Amount that Vincent received every fortnight
= 3 u
= 3 x 480
= $1440
Amount that Vincent had at first
= 1740 - 1440
= $300
Total amount that Vincent and Luke had at first
= 1260 + 300
= $1560
Vincent's amount : Total amount
300 : 1560
5 : 26
Answer(s): 5 : 26