Question

Howard and Sam had some money at first. Howard received 4 times as much money as Sam every fortnight. At the end of 2 fortnights, both of them had the same amount of money. If Sam had $1500 at first and Howard had $1900 at the end of those 2 fortnights, what was the ratio of Howard's money to the total amount of money at first?

Answer 1

so if Sam got x every fortnight,
1500+2x = 1900
x = 200
so Howard started with 1900-8x = 300
Now you can answer the question.

Answer 2

Howard = 4 Sam
After two fortnights
1500 + 2x = 8x + y
8x + y = 1900
1900 - 1500 = 2x
x = 200
y + 8x = 1900
y = 300
300/1800 = 1:6