Fred and Japheth had some money at first. Fred received 2 times as much money as Japheth every day. At the end of 6 days, both of them had the same amount of money. If Japheth had $1140 at first and Fred had $1980 at the end of those 6 days, what is the ratio of Fred's money to the total amount of money at first?
|
Fred |
Japheth |
Before |
? |
$1140 |
Change |
+ 2 u |
+ 1 u |
After |
$1980 |
$1980 |
Amount that Japheth received every day
= 1980 - 1140
= $840
1 u = 840
Amount that Fred received every day
= 2 u
= 2 x 840
= $1680
Amount that Fred had at first
= 1980 - 1680
= $300
Total amount that Fred and Japheth had at first
= 1140 + 300
= $1440
Fred's amount : Total amount
300 : 1440
5 : 24
Answer(s): 5 : 24