document.write( "Question 798932: Annie has quarters and dimes in her bank. There are eleven more than three times as many dimes as quarters. There is $4.95 in her bank. How many dimes are in her bank? \n" ); document.write( "

Algebra.Com's Answer #482409 by Stitch(470) $\"\"$ $\"About$

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1 quarter = $0.25
\n" ); document.write( "1 dime = $0.10
\n" ); document.write( "------------------
\n" ); document.write( "Set up:
\n" ); document.write( "Let A = number of quarters
\n" ); document.write( "Let B = number of dimes
\n" ); document.write( "Equation 1: $\"B+=+3A+%2B+11\"$
\n" ); document.write( "Equation 2: $\"0.25%2AA+%2B+0.10%2AB+=+4.95\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Solution:
\n" ); document.write( "Since equation one is solved for B, Plug (3A + 11) into equation 2 for B.
\n" ); document.write( "Equation 2: $\"0.25%2AA+%2B+0.10%2AB+=+4.95\"$
\n" ); document.write( " $\"0.25%2AA+%2B+0.10%2A%283A+%2B+11%29+=+4.95\"$
\n" ); document.write( "Multiply the 0.10 trhough.
\n" ); document.write( " $\"0.25A+%2B+0.3A+%2B+1.1+=+4.95\"$
\n" ); document.write( "Combine like terms.
\n" ); document.write( " $\"0.55A+%2B+1.1+=+4.95\"$
\n" ); document.write( "Subtract 1.1 from both sides.
\n" ); document.write( " $\"0.55A+=+3.85\"$
\n" ); document.write( "Divide both sides by 0.55
\n" ); document.write( " $\"highlight%28A+=+7%29\"$
\n" ); document.write( "Now plug 7 into equation 1 for A.
\n" ); document.write( "Equation 1: $\"B+=+3A+%2B+11\"$
\n" ); document.write( " $\"B+=+3%2A%287%29+%2B+11\"$
\n" ); document.write( " $\"B+=+21+%2B+11\"$
\n" ); document.write( " $\"highlight_green%28B+=+32%29\"$
\n" ); document.write( "Annie has 32 dimes. \n" ); document.write( "

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