Otieno, Leila, Rotich and Furaha shared $840. Otieno got twice as much as Leila. Leila got three times as much as Rotich while Rotich got half of what Furaha got. What was the difference between Otieno's share and Furaha's share?

Question

Otieno, Leila, Rotich and Furaha shared  $840. Otieno got twice as much as Leila. Leila got three times as much as Rotich while Rotich got half of what Furaha got. What was the difference between Otieno's share and Furaha's share?

Steve · Accepted Answer

If the four got amounts a,b,c,d respectively, then a = 2b b = 3c c = d/2 a+b+c+d = 840 a-d = 280