document.write( "Question 230776: Jessica went to the bank to get $20 worth of dimes and quarters. The teller made a
\n" ); document.write( "mistake, interchanging the number of dimes and quarters Jessica asked for. How
\n" ); document.write( "many dimes and quarters had she asked for if the teller gave her $9 too much? \n" ); document.write( "

Algebra.Com's Answer #170915 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Jessica went to the bank to get $20 worth of dimes and quarters.
\n" ); document.write( " The teller made a mistake, interchanging the number of dimes and quarters Jessica asked for.
\n" ); document.write( "How many dimes and quarters had she asked for if the teller gave her $9 too much?
\n" ); document.write( ":
\n" ); document.write( "Let d = no. of dimes asked for
\n" ); document.write( "Let q = no. of quarters asked for
\n" ); document.write( ":
\n" ); document.write( "Two equations:
\n" ); document.write( ".10d + .25q = 20
\n" ); document.write( ".25d + .10q = 29
\n" ); document.write( ":
\n" ); document.write( "Multiply the 1st equation by 5, multiply the 2nd equation by 2
\n" ); document.write( ".50d + 1.25q = 100
\n" ); document.write( ".50d + .20q = 58
\n" ); document.write( "-------------------Subtraction eliminates d, find q
\n" ); document.write( "1.05q = 42
\n" ); document.write( "q = $\"42%2F1.05\"$
\n" ); document.write( "q = 40 quarters asked for
\n" ); document.write( "then
\n" ); document.write( ".10d + .25(40) = 20
\n" ); document.write( ".10d + 10 = 20
\n" ); document.write( ".10d = 20 - 10
\n" ); document.write( "d = $\"10%2F.10\"$
\n" ); document.write( "d = 100 dimes
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 2nd equation
\n" ); document.write( ".25(100) + .10(40) =
\n" ); document.write( "25 + 4 = 29 \n" ); document.write( "

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