document.write( "Question 518948: Pat has $3.80 in nickels and dimes. If there are 51 coins in all, how many of them are nickels
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Algebra.Com's Answer #345523 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Pat has $3.80 in nickels and dimes. \n" ); document.write( "Let's do this equation in cents \n" ); document.write( "5n + 10d = 380 \n" ); document.write( ": \n" ); document.write( " If there are 51 coins in all, \n" ); document.write( "n + d = 51 \n" ); document.write( "Multiply by 10, subtract the 1st equation \n" ); document.write( "10n + 10d = 510 \n" ); document.write( " 5n + 10d = 380 \n" ); document.write( "----------------Subtraction eliminates d, find n; \n" ); document.write( "5n = 130 \n" ); document.write( "n = 130/5 \n" ); document.write( "n = 26 nickels \n" ); document.write( "then \n" ); document.write( "51 - 26 = 25 dimes \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solutions by finding the actual value: \n" ); document.write( ".05(26) + .10(25) = \n" ); document.write( "1.30 + 2.50 = 3.80 \n" ); document.write( " |