Howard and David had some money at first. Howard received 3 times as much money as David every fortnight. At the end of 2 fortnights, both of them had the same amount of money. If David had $1200 at first and Howard had $1770 at the end of those 2 fortnights, what is the ratio of Howard's money to the total amount of money at first?
| |
Howard |
David |
| Before |
? |
$1200 |
| Change |
+ 3 u |
+ 1 u |
| After |
$1770 |
$1770 |
Amount that David received every fortnight
= 1770 - 1200
= $570
1 u = 570
Amount that Howard received every fortnight
= 3 u
= 3 x 570
= $1710
Amount that Howard had at first
= 1770 - 1710
= $60
Total amount that Howard and David had at first
= 1200 + 60
= $1260
Howard's amount : Total amount
60 : 1260
1 : 21
Answer(s): 1 : 21
