SOLUTION: Keith spent $434 on a mobile phone and 5/8 of his remaining money on a headphone. He had 1/5 of his original sum of money left. (a) What fraction of the original sum o

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Keith spent $434 on a mobile phone and 5/8 of his remaining money on a headphone. He had 1/5 of his original sum of money left. (a) What fraction of the original sum o      Log On


   



Question 1187089: Keith spent $434 on a mobile phone and 5/8 of his remaining money on a
headphone. He had 1/5 of his original sum of money left.

(a) What fraction of the original sum of money was spent? Give your answer in
the simplest form.
(b) How much money did he have at first?

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
He starts with p dollars.

%283%2F8%29%28p-434%29=p%2F5-----------solve for p, his original amount of money.

Notice, he spent 4%2F5 of p.