Problema Solution

Kevin and Randy have a jar containing 68 coins, all of which are either quarters or nickles. The total of the coins in the jar is $8.20. How many of each type of coin do they have?

Answer provided by our tutors

1 nickle = 5 cents


1 quarter = 25 cents


let


n = the number of nickles, n>0


q = the number of quarter, q>0


Kevin and Randy have a jar containing 68 coins, all of which are either quarters or nickles:


n + q = 68


The total of the coins in the jar is $8.20 = 820 cents:


5n + 25q = 820


by solving the system of equations:


n + q = 68


5n + 25q = 820


we find:


n = 44 nickles


q = 24 quarters


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Kevin and Randy have 44 nickles and 24 quarters.