SOLUTION: A sum of money amounting to $5.20 consists of quarters and dimes. If there are 31 coins in all, how many of each kind are there? A man has $10.40 in change consisting of 3 times

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: A sum of money amounting to $5.20 consists of quarters and dimes. If there are 31 coins in all, how many of each kind are there? A man has $10.40 in change consisting of 3 times      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 982181: A sum of money amounting to $5.20 consists of quarters and dimes. If there are 31 coins in all, how many of each kind are there?
A man has $10.40 in change consisting of 3 times as many quarters and nickels. How many quarters and nickels does he have?

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let quarters be x
and dimes be y
x+y=31................(1)
value
25x+10y=520...........(2)
Multiply (1) by 10 and subtract (2)
10x+10y=310
25x+10y=520
-15x=-210
x= 14
14 quarters and remaining dimes


25x+10y =