# SOLUTION: a piggy bank contains \$5.85 in nickels and quarters. if there are 65 coins in all, how many of each type coin is there? please help me

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 Click here to see ALL problems on Miscellaneous Word Problems Question 190924: a piggy bank contains \$5.85 in nickels and quarters. if there are 65 coins in all, how many of each type coin is there? please help meAnswer by stanbon(57361)   (Show Source): You can put this solution on YOUR website!a piggy bank contains \$5.85 in nickels and quarters. if there are 65 coins in all, how many of each type coin is there? ---------------------------------------------- Quantity Equation: n + q = 65 Value Equation::: 5n + 25q = 585 cents -------------------------------------------- Multiply thru the 1st Eq. by 5 to set up the system for elimination: 5n + 5q = 5*65 5n + 25q = 585 -------------------- Subract the 1st from the 2nd to solve for "q": 20q = 260 q = 13 (# of quarters) ----------------- Substitute in n + q = 65 to solve for "n" n + 13 = 65 n = 52 (# of nickels) ======================================== Cheers, Stan H.