document.write( "Question 148920: Audrey has 35 dimes and quarters in her piggy bank with a total value of $6.95. How many coins are dimes and how many are quarters? \n" ); document.write( "

Algebra.Com's Answer #109241 by nabla(475) $\"\"$ $\"About$

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Form this system of equations from the given:
\n" ); document.write( "d+q=35 (number of dimes plus number of quarters =35)
\n" ); document.write( ".1d+.25q=6.95 (number of dimes times their worth plus number of quarters times their worth= 6.95)\r
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\n" ); document.write( "\n" ); document.write( "So, we can solve this a few ways. I will first multiply the second equation by 100.\r
\n" ); document.write( "\n" ); document.write( "d+q=35
\n" ); document.write( "10d+25q=695\r
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\n" ); document.write( "\n" ); document.write( "Now, multiply the first equation by -10.\r
\n" ); document.write( "\n" ); document.write( "-10d-10q=-350
\n" ); document.write( "10d+25q=695\r
\n" ); document.write( "\n" ); document.write( "Now, add the two equations.\r
\n" ); document.write( "\n" ); document.write( "15q=345
\n" ); document.write( "q=23\r
\n" ); document.write( "\n" ); document.write( "If q=23,
\n" ); document.write( "d=35-23=12\r
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\n" ); document.write( "\n" ); document.write( "So Audrey has 23 quarters and 12 dimes.\r
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "23(.25)+1.2=5.75+1.2=6.95. \n" ); document.write( "

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