document.write( "Question 522470: You have 28 coins that are all nickles and dimes. The value of the coins together is $2.05. Write and solve a system of equations that will indicate how many of each coin you have. \n" ); document.write( "

Algebra.Com's Answer #346869 by oberobic(2304) $\"\"$ $\"About$

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n = number of nickels
\n" ); document.write( "5n = value of the nickels in cents
\n" ); document.write( "d = number of dimes
\n" ); document.write( "10d = value of the dimes in cents
\n" ); document.write( ".
\n" ); document.write( "5n + 10d = 205 cents
\n" ); document.write( ".
\n" ); document.write( "n + d = 28
\n" ); document.write( "so
\n" ); document.write( "n = 28-d
\n" ); document.write( ".
\n" ); document.write( "substitute
\n" ); document.write( ".
\n" ); document.write( "5(28-d) +10d = 205
\n" ); document.write( ".
\n" ); document.write( "140 -5d + 10d = 205
\n" ); document.write( ".
\n" ); document.write( "5d = 65
\n" ); document.write( ".
\n" ); document.write( "d = 13
\n" ); document.write( ".
\n" ); document.write( "n = 28-d = 28-13 = 15
\n" ); document.write( ".
\n" ); document.write( "Check the values to be sure this is the answer:
\n" ); document.write( "5n = 5(15) = 75
\n" ); document.write( "10d = 10(13) = 130
\n" ); document.write( "75+130=205
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "Answer: 15 nickels and 13 dimes.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

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