document.write( "Question 292142: ZACHARIAS HAS A TOTAL OF 65 COINS, ALL OF WHICH ARE EITHER DIMES OR NICKELS. THE TOTAL VALUE OF THE COINS IS $5.80. FIND THE NUMBER OF EACH TYPE OF COIN. \n" ); document.write( "
Algebra.Com's Answer #211105 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! ZACHARIAS HAS A TOTAL OF 65 COINS, ALL OF WHICH ARE EITHER DIMES OR NICKELS. THE TOTAL VALUE OF THE COINS IS $5.80. FIND THE NUMBER OF EACH TYPE OF COIN. \n" ); document.write( "------------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity Eq:::: d + n = 65 \n" ); document.write( "Value Eq::::::10d+ 5n = 580 cents \n" ); document.write( "------------------------------------ \n" ); document.write( "Multiply thru the Quantity Eq. by 10; subtract and solv for \"n\": \n" ); document.write( "10d + 10n = 650 \n" ); document.write( "10d + 5n = 580 \n" ); document.write( "----------------------- \n" ); document.write( "5n = 70 \n" ); document.write( "n = 14 (# of nickels) \n" ); document.write( "--- \n" ); document.write( "Substitute and solve for \"d\": \n" ); document.write( "d + 14 = 65 \n" ); document.write( "d = 51 (# of dimes) \n" ); document.write( "================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================================= \n" ); document.write( " |