Problema Solution

A jar containing only Nickels and dimes contains a total of 50 coins. The value of all queens in the jar is $3.25.still off by elimination to find amount of nickels and dimes that are in the jar

Answer provided by our tutors

1 nickle = 5 cents


1 dime = 10 cents


let


n = the number of nickels, n>0, n is integer


d = the number of dimes, d>0, d is integer


a jar containing only Nickels and dimes contains a total of 50 coins:


n + d = 50


the value of all the coins in the jar is $3.25 = 325 cents:


5n + 10d = 325


by solving the system of equations:


n + d = 50


5n + 10d = 325


we find:


n = 35 nickles


d = 15 dimes


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there are 35 nickles and 15 dimes in the jar.