Tim and Sam had some money at first. Tim received 4 times as much money as Sam every fortnight. At the end of 6 fortnights, both of them had the same amount of money. If Sam had $1400 at first and Tim had $1850 at the end of those 6 fortnights, what is the ratio of Tim's money to the total amount of money at first?
| |
Tim |
Sam |
| Before |
? |
$1400 |
| Change |
+ 4 u |
+ 1 u |
| After |
$1850 |
$1850 |
Amount that Sam received every fortnight
= 1850 - 1400
= $450
1 u = 450
Amount that Tim received every fortnight
= 4 u
= 4 x 450
= $1800
Amount that Tim had at first
= 1850 - 1800
= $50
Total amount that Tim and Sam had at first
= 1400 + 50
= $1450
Tim's amount : Total amount
50 : 1450
1 : 29
Answer(s): 1 : 29
