Problema Solution

A coin collector has 31 coins dimes and nickles with a total face value of $2.40. How many of each coin does she have? I need how to set this up in the algebric formula

Answer provided by our tutors

Total number of coins = 31

let number of dimes = x

=< Number of nickels = 31 -x

Total amount = $2.4 = 240 cents

 

So we have

10x + 5(31-x) = 240

=> 10x + 155 - 5x = 240

=> 5x = 85

=> x = 17

=> dimes = 17

nickels = 14