document.write( "Question 592183: Diane has $1.80 in dimes and nickels. She has a total of 22 coins. How many of each kind does she have? \n" ); document.write( "
Algebra.Com's Answer #375863 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Diane has $1.80 in dimes and nickels. She has a total of 22 coins. How many of each kind does she have? \n" ); document.write( "------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity: d + n = 22 coins \n" ); document.write( "Value: 10d +5n = 180 \n" ); document.write( "------------------------- \n" ); document.write( "Multiply thru the Quantity Eq. by 5 to get: \n" ); document.write( "5d + 5n = 110 \n" ); document.write( "10d + 5n = 180 \n" ); document.write( "-------------- \n" ); document.write( "Subtract and solve for \"d\": \n" ); document.write( "5d = 70 \n" ); document.write( "d = 14 (# of dimes) \n" ); document.write( "------ \n" ); document.write( "Solve for \"n\": \n" ); document.write( "d + n = 22 \n" ); document.write( "14 + n = 22 \n" ); document.write( "n = 8 (# of nickels) \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "====================== \n" ); document.write( " |