A sum of money was shared among Amos, Benny and Cathy. Amos received 1/4 of the sum. Benny received 2/5 of the remainder and Cathy received the rest.

Question

As a result, Cathy received $150 more than Benny.

(a) What is the amount received by
Amos?
(b) Find the sum of money?

Answer 1

Let s = sum
(1/4)s + (2/5)(3/4)s + (2/5)(3/4)s + 150 = s

(1/4)s + (3/5) s + 150 = s

(5/20 + 12/20) s +150 = s

(17/20)s + 150 = s

(3/20) s = 150

s = 50*20 = 1000
Amos get 1/4 of that or 250