
Pls help.thank you
Pls help.thank you
Total amount of money that both have still remains the same = $4580
Amount Ethan has after giving = 4580/4 = 1145
Amount Ethan has originally = 1145 + 800 = $1945
Amount Fiona has originally = (1145×3) – 800 = 2635
Amount Fiona has more than Ethan originally = 2635 -1945 = 690
At the end,
Fiona [u][u][u] }
} 4580 (This total has no change at first or the end)
Ethan [u] }
4u = 4580 => u = 1145
At first Fiona has 3u-800 = 3(1145) – 800 = 2635
At first Ethan has 4580-2635 = 1945
Hence at first, Fiona has (2635-1945) = $690 more than Ethan.
The key observation in this type of problem is this:
The total amount of money did not change.
So at the end:
Ethan: [u] (1/3 of Fiona)
Fiona: [u][u][u]
That means 4u = 4580 and u = 4580/4 = 1145.
So at first:
Fiona had 3 x 1145 - 800 = $2635
Ethan had 1145 + 800 = $1945
Fiona had 2635 - 1945 = $690 more at first.
CHECK Ethan Fiona Start 1945=4580-2635 2635 End 1145=1945-800 3435=2635+800 Ratio 3435/1145 = 3