document.write( "Question 185976: A collection of dimes and nickels is worth $8.40. There are 106 coins in all. How many of each are there? \n" ); document.write( "
Algebra.Com's Answer #139464 by MissionPossible(18)\"\" \"About 
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suppose there are N nickels and D dimes.
\n" ); document.write( "N + D = 106 (There are 106 coins in all.)\r
\n" ); document.write( "\n" ); document.write( "1 nickel = 5 cents.
\n" ); document.write( "1 dime = 10 cents.\r
\n" ); document.write( "\n" ); document.write( "5*N + 10*D = 840 ($8.40 = 840 cents)\r
\n" ); document.write( "\n" ); document.write( "N + D = 106 -------(1)
\n" ); document.write( "N = (106 - D)
\n" ); document.write( "5*N + 10*D = 840 ---------(2)
\n" ); document.write( "5*(106-D) + 10*D = 840
\n" ); document.write( "530 - 5*D + 10*D = 840
\n" ); document.write( "5*D = 840 - 530
\n" ); document.write( "5*D = 310
\n" ); document.write( "D = 310/5 = 62
\n" ); document.write( "Eq(1) N + D = 106
\n" ); document.write( " N + 62 = 106
\n" ); document.write( " N = 106 - 62
\n" ); document.write( " N = 44
\n" ); document.write( "Then , there are 62 dimes , 44 nickels. Ans.
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