Billy and Michael had some money at first. Billy received 2 times as much money as Michael every fortnight. At the end of 2 fortnights, both of them had the same amount of money. If Michael had $1260 at first and Billy had $2310 at the end of those 2 fortnights, what is the ratio of Billy's money to the total amount of money at first?
| |
Billy |
Michael |
| Before |
? |
$1260 |
| Change |
+ 2 u |
+ 1 u |
| After |
$2310 |
$2310 |
Amount that Michael received every fortnight
= 2310 - 1260
= $1050
1 u = 1050
Amount that Billy received every fortnight
= 2 u
= 2 x 1050
= $2100
Amount that Billy had at first
= 2310 - 2100
= $210
Total amount that Billy and Michael had at first
= 1260 + 210
= $1470
Billy's amount : Total amount
210 : 1470
1 : 7
Answer(s): 1 : 7
