Ethan and Tim had some money at first. Ethan received 4 times as much money as Tim every month. At the end of 6 months, both of them had the same amount of money. If Tim had $1320 at first and Ethan had $1740 at the end of those 6 months, what is the ratio of Ethan's money to the total amount of money at first?
| |
Ethan |
Tim |
| Before |
? |
$1320 |
| Change |
+ 4 u |
+ 1 u |
| After |
$1740 |
$1740 |
Amount that Tim received every month
= 1740 - 1320
= $420
1 u = 420
Amount that Ethan received every month
= 4 u
= 4 x 420
= $1680
Amount that Ethan had at first
= 1740 - 1680
= $60
Total amount that Ethan and Tim had at first
= 1320 + 60
= $1380
Ethan's amount : Total amount
60 : 1380
1 : 23
Answer(s): 1 : 23
