Jack and Archie had some money at first. Jack received 2 times as much money as Archie every month. At the end of 6 months, both of them had the same amount of money. If Archie had $1350 at first and Jack had $1620 at the end of those 6 months, what is the ratio of Jack's money to the total amount of money at first?
| |
Jack |
Archie |
| Before |
? |
$1350 |
| Change |
+ 2 u |
+ 1 u |
| After |
$1620 |
$1620 |
Amount that Archie received every month
= 1620 - 1350
= $270
1 u = 270
Amount that Jack received every month
= 2 u
= 2 x 270
= $540
Amount that Jack had at first
= 1620 - 540
= $1080
Total amount that Jack and Archie had at first
= 1350 + 1080
= $2430
Jack's amount : Total amount
1080 : 2430
4 : 9
Answer(s): 4 : 9
