Gabriel and Valen had some money at first. Gabriel received 3 times as much money as Valen every fortnight. At the end of 2 fortnights, both of them had the same amount of money. If Valen had $1210 at first and Gabriel had $1760 at the end of those 2 fortnights, what is the ratio of Gabriel's money to the total amount of money at first?
| |
Gabriel |
Valen |
| Before |
? |
$1210 |
| Change |
+ 3 u |
+ 1 u |
| After |
$1760 |
$1760 |
Amount that Valen received every fortnight
= 1760 - 1210
= $550
1 u = 550
Amount that Gabriel received every fortnight
= 3 u
= 3 x 550
= $1650
Amount that Gabriel had at first
= 1760 - 1650
= $110
Total amount that Gabriel and Valen had at first
= 1210 + 110
= $1320
Gabriel's amount : Total amount
110 : 1320
1 : 12
Answer(s): 1 : 12
