Tom and Luke had some money at first. Tom received 3 times as much money as Luke every day. At the end of 4 days, both of them had the same amount of money. If Luke had $1080 at first and Tom had $1600 at the end of those 4 days, what is the ratio of Tom's money to the total amount of money at first?
| |
Tom |
Luke |
| Before |
? |
$1080 |
| Change |
+ 3 u |
+ 1 u |
| After |
$1600 |
$1600 |
Amount that Luke received every day
= 1600 - 1080
= $520
1 u = 520
Amount that Tom received every day
= 3 u
= 3 x 520
= $1560
Amount that Tom had at first
= 1600 - 1560
= $40
Total amount that Tom and Luke had at first
= 1080 + 40
= $1120
Tom's amount : Total amount
40 : 1120
1 : 28
Answer(s): 1 : 28
