Archie and Elijah had some money at first. Archie received 3 times as much money as Elijah every week. At the end of 2 weeks, both of them had the same amount of money. If Elijah had $1150 at first and Archie had $1700 at the end of those 2 weeks, what is the ratio of Archie's money to the total amount of money at first?
| |
Archie |
Elijah |
| Before |
? |
$1150 |
| Change |
+ 3 u |
+ 1 u |
| After |
$1700 |
$1700 |
Amount that Elijah received every week
= 1700 - 1150
= $550
1 u = 550
Amount that Archie received every week
= 3 u
= 3 x 550
= $1650
Amount that Archie had at first
= 1700 - 1650
= $50
Total amount that Archie and Elijah had at first
= 1150 + 50
= $1200
Archie's amount : Total amount
50 : 1200
1 : 24
Answer(s): 1 : 24
