Andy and Luke had some money at first. Andy received 3 times as much money as Luke every fortnight. At the end of 2 fortnights, both of them had the same amount of money. If Luke had $1280 at first and Andy had $1680 at the end of those 2 fortnights, what is the ratio of Andy's money to the total amount of money at first?
|
Andy |
Luke |
Before |
? |
$1280 |
Change |
+ 3 u |
+ 1 u |
After |
$1680 |
$1680 |
Amount that Luke received every fortnight
= 1680 - 1280
= $400
1 u = 400
Amount that Andy received every fortnight
= 3 u
= 3 x 400
= $1200
Amount that Andy had at first
= 1680 - 1200
= $480
Total amount that Andy and Luke had at first
= 1280 + 480
= $1760
Andy's amount : Total amount
480 : 1760
3 : 11
Answer(s): 3 : 11