document.write( "Question 1132844: The total value of quarters and dimes in a coin bank is $6.90.
\n" ); document.write( "If the quarters were dimes and the dimes were quarters the total value of the coins would be $7.80.\r
\n" ); document.write( "\n" ); document.write( "a) set up a system of equations to represent the situation.
\n" ); document.write( "b) find the number of quarters in the bank.
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Algebra.Com's Answer #749982 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+d+\" = the number of dimes
\n" ); document.write( "Let \"+q+\" = number of quarters
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\n" ); document.write( "(1) \"+10d+%2B+25q+=+690+\" ( in cents )
\n" ); document.write( "(2) \"+10q+%2B+25d+=+780+\" ( in cents )
\n" ); document.write( "---------------------------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+5+\"
\n" ); document.write( "Multiply both sides of (2) by \"+2+\"
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) \"+50d+%2B+125q+=+3450+\"
\n" ); document.write( "(2) \"+-50d+-+20q+=+-1560+\"
\n" ); document.write( "--------------------------------------
\n" ); document.write( "\"+105q+=+1890+\"
\n" ); document.write( "\"+q+=+18+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+10d+%2B+25%2A18+=+690+\"
\n" ); document.write( "(1) \"+10d+=+690+-+450+\"
\n" ); document.write( "(1) \"+10d+=+240+\"
\n" ); document.write( "(1) \"+d+=+24+\"
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\n" ); document.write( "There are 24 dimes and 18 quarters
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+10q+%2B+25d+=+780+\"
\n" ); document.write( "(2) \"+10%2A18+%2B+25%2A24+=+780+\"
\n" ); document.write( "(2) \"+180+%2B+600+=+780+\"
\n" ); document.write( "(2) \"+780+=+780+\"
\n" ); document.write( "OK
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