Xavier and Luke had some money at first. Xavier received 3 times as much money as Luke every month. At the end of 2 months, both of them had the same amount of money. If Luke had $1380 at first and Xavier had $1840 at the end of those 2 months, what is the ratio of Xavier's money to the total amount of money at first?
| |
Xavier |
Luke |
| Before |
? |
$1380 |
| Change |
+ 3 u |
+ 1 u |
| After |
$1840 |
$1840 |
Amount that Luke received every month
= 1840 - 1380
= $460
1 u = 460
Amount that Xavier received every month
= 3 u
= 3 x 460
= $1380
Amount that Xavier had at first
= 1840 - 1380
= $460
Total amount that Xavier and Luke had at first
= 1380 + 460
= $1840
Xavier's amount : Total amount
460 : 1840
1 : 4
Answer(s): 1 : 4
