Tim and Fabian had some money at first. Tim received 2 times as much money as Fabian every fortnight. At the end of 4 fortnights, both of them had the same amount of money. If Fabian had $1200 at first and Tim had $1800 at the end of those 4 fortnights, what is the ratio of Tim's money to the total amount of money at first?
| |
Tim |
Fabian |
| Before |
? |
$1200 |
| Change |
+ 2 u |
+ 1 u |
| After |
$1800 |
$1800 |
Amount that Fabian received every fortnight
= 1800 - 1200
= $600
1 u = 600
Amount that Tim received every fortnight
= 2 u
= 2 x 600
= $1200
Amount that Tim had at first
= 1800 - 1200
= $600
Total amount that Tim and Fabian had at first
= 1200 + 600
= $1800
Tim's amount : Total amount
600 : 1800
1 : 3
Answer(s): 1 : 3
