David and Tim had some money at first. David received 2 times as much money as Tim every fortnight. At the end of 4 fortnights, both of them had the same amount of money. If Tim had $1000 at first and David had $1880 at the end of those 4 fortnights, what is the ratio of David's money to the total amount of money at first?
|
David |
Tim |
Before |
? |
$1000 |
Change |
+ 2 u |
+ 1 u |
After |
$1880 |
$1880 |
Amount that Tim received every fortnight
= 1880 - 1000
= $880
1 u = 880
Amount that David received every fortnight
= 2 u
= 2 x 880
= $1760
Amount that David had at first
= 1880 - 1760
= $120
Total amount that David and Tim had at first
= 1000 + 120
= $1120
David's amount : Total amount
120 : 1120
3 : 28
Answer(s): 3 : 28