document.write( "Question 233276: There are 36 coins in a purse, all nickels and quarters. There are 8 more quarters than nickels. The total amount is $6.20. How many nickels and quarters are there? \n" ); document.write( "
Algebra.Com's Answer #172183 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! There are 36 coins in a purse, all nickels and quarters. There are 8 more quarters than nickels. The total amount is $6.20. How many nickels and quarters are there? \n" ); document.write( "--------------------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity Equation: n + q = 36 \n" ); document.write( "Value Equation::::5n +25q = 620 cents \n" ); document.write( "============================================ \n" ); document.write( "Multiply thru the Quantity Equation by 5 to get: \n" ); document.write( "5n + 5q = 5*36 \n" ); document.write( "--- \n" ); document.write( "Subtract that from the Value equation to get: \n" ); document.write( "20q = 620-5*36 \n" ); document.write( "20q = 440 \n" ); document.write( "q = 22 (number of quarters) \n" ); document.write( "---- \n" ); document.write( "Substitute into n+q=36 to solve for \"n\": \n" ); document.write( "n = 36-22 = 14 (number of nickels) \n" ); document.write( "===================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |