Liam and Vincent had some money at first. Liam received 3 times as much money as Vincent every month. At the end of 4 months, both of them had the same amount of money. If Vincent had $1200 at first and Liam had $1740 at the end of those 4 months, what is the ratio of Liam's money to the total amount of money at first?
| |
Liam |
Vincent |
| Before |
? |
$1200 |
| Change |
+ 3 u |
+ 1 u |
| After |
$1740 |
$1740 |
Amount that Vincent received every month
= 1740 - 1200
= $540
1 u = 540
Amount that Liam received every month
= 3 u
= 3 x 540
= $1620
Amount that Liam had at first
= 1740 - 1620
= $120
Total amount that Liam and Vincent had at first
= 1200 + 120
= $1320
Liam's amount : Total amount
120 : 1320
1 : 11
Answer(s): 1 : 11
