A daughter lent $750 to her mother to help pay her rent. At the end of the month, the daughter received y dollars more than than the amount that was lent due to interest. The mother also gave her daughter an additional $5 for goodwill. In terms of y, what fraction of the total amount that the daughter received was the goodwill amount?
Options:
(A) (5y-1) /(755-y)
(B) 5/(755+y)
(C) 5y/(755+y) -1
(D) 5y/(755+y)
(E) 5y Let's think first. Stream of consciousness:
The amount of money the daughter received was (750 + 5+ y) dollars. The $5 goodwill gift as a fraction of the amount received was, therefore, 5/(755+y).
So, the answer is (B).