document.write( "Question 608538: A collection of dimes and nickels is worth $3.75. If there are 55 coins in the collection, how many of each are there? Create a system of equations representing this situation and solve it to determine your answer. \n" ); document.write( "
Algebra.Com's Answer #383274 by stanbon(75887)\"\" \"About 
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A collection of dimes and nickels is worth $3.75. If there are 55 coins in the collection, how many of each are there? Create a system of equations representing this situation and solve it to determine your answer.
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\n" ); document.write( "Quantity Eq.: d + n = 55 coins
\n" ); document.write( "Value Equat.:10d+5n = 375 cents
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\n" ); document.write( "Multiply thru the 1st Eq. by 5:
\n" ); document.write( "5d + 5n = 5*55
\n" ); document.write( "10d+ 5n = 375
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\n" ); document.write( "Subtract and solve for \"d\":
\n" ); document.write( "5d = 100
\n" ); document.write( "d = 20 (# of dimes)
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\n" ); document.write( "Solve for \"n\":
\n" ); document.write( "d + n = 55
\n" ); document.write( "20 + n = 55
\n" ); document.write( "n = 35
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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