document.write( "Question 515508: jeremy pays for lunch using 75 coins consisting of quarters and nickles. If the total for his lunch is $13.55, find the number of quarters and nickles. \n" ); document.write( "

Algebra.Com's Answer #344017 by oberobic(2304) $\"\"$ $\"About$

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n = number of nickels
\n" ); document.write( "5n = value of nickels in cents
\n" ); document.write( "q = number of quarters
\n" ); document.write( "25q = value of quarters in cents
\n" ); document.write( ".
\n" ); document.write( "5n + 25q = 1355 cents
\n" ); document.write( ".
\n" ); document.write( "n + q = 75 coins
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\n" ); document.write( "multiply the 2nd equation by 5 and subtract from the first
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\n" ); document.write( "5n + 25q = 1355
\n" ); document.write( "5n + 5q = 375
\n" ); document.write( "-----------------
\n" ); document.write( "20q = 980
\n" ); document.write( "q = 49
\n" ); document.write( ".
\n" ); document.write( "n + q = 75
\n" ); document.write( "n = 75 -49
\n" ); document.write( "n = 26
\n" ); document.write( ".
\n" ); document.write( "Check the values
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\n" ); document.write( "25q = 25(49) = 1225 cents
\n" ); document.write( "5n = 5(26) = 130 cents
\n" ); document.write( "1225 + 130 = 1355 cents
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "Answer: 49 quarters and 26 nickels.
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\n" ); document.write( "Done. \n" ); document.write( "

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