Ethan and Peter had some money at first. Ethan received 3 times as much money as Peter every fortnight. At the end of 2 fortnights, both of them had the same amount of money. If Peter had $1320 at first and Ethan had $1830 at the end of those 2 fortnights, what is the ratio of Ethan's money to the total amount of money at first?
| |
Ethan |
Peter |
| Before |
? |
$1320 |
| Change |
+ 3 u |
+ 1 u |
| After |
$1830 |
$1830 |
Amount that Peter received every fortnight
= 1830 - 1320
= $510
1 u = 510
Amount that Ethan received every fortnight
= 3 u
= 3 x 510
= $1530
Amount that Ethan had at first
= 1830 - 1530
= $300
Total amount that Ethan and Peter had at first
= 1320 + 300
= $1620
Ethan's amount : Total amount
300 : 1620
5 : 27
Answer(s): 5 : 27
