document.write( "Question 736495: Janice has 16 coins in her purse. Some of the coins are dimes, some are quarters. The total is $2.65. Write a system of equations to solve how many quarters and dimes are in Janice's purse. \n" ); document.write( "
Algebra.Com's Answer #449862 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Janice has 16 coins in her purse. Some of the coins are dimes, some are quarters. The total is $2.65. Write a system of equations to solve how many quarters and dimes are in Janice's ion: \n" ); document.write( "purse. \n" ); document.write( "------ \n" ); document.write( "Equations: \n" ); document.write( "Quantity: d + q = 16 coins \n" ); document.write( "Value:: 10d+25q = 265 cents \n" ); document.write( "-------------------------------- \n" ); document.write( "Modify for elimination: \n" ); document.write( "10d + 10q = 10*16 \n" ); document.write( "10d + 25q = 265 \n" ); document.write( "----- \n" ); document.write( "Subtract and solve for \"q\": \n" ); document.write( "15q = 105 \n" ); document.write( "q = 7 (# of quarters) \n" ); document.write( "Solve for \"d\": \n" ); document.write( "d = 16-7 = 9 (# of dimes) \n" ); document.write( "============================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "===================== \n" ); document.write( " \n" ); document.write( " |