A bank transfers a sum of money to Mr. Cathrall, who spends

A bank transfers a sum of money to Mr. Cathrall, who spends $20,000 of the amount sent to him and transfers 75% of the the money remaining to Mrs. Carlyle, who spends $15,000 of the amount she receives it before transferring 2/3 of the money remaining to Mr. Leeds, who spends $5,000 and transfers 4/5 of the money remaining back to Mr. Cathrall. Assuming that the bank transfers were made at no cost, how much money did Mrs. Carlyle transfer to Mr. Leeds if Mr. Cathrall received $260,000 in all?

(A) $80,000 (B) $90,000 (C) $100,000 (D) $110,000 (E) none of the above

start amount = 260,000 - x where x is wut mr leeds transfered back to him at the last step



(240,000 - x) *3/4 = 180,000 - 3/4x(cathral to carlyle)

180,000 - 3/4x - 15000 = 165,000 - 3/4x ( carlyle )

(165,000 - 3/4x )*2/3 = 110,000 - 1/2x ( amount with leads)

(105,000 - 1/2x ) * 4/5= 84,000 - 2/5x
(84,000 - 2/5x = x = 60,000

110 -30 = 80,000 my answer is A