document.write( "Question 157712: A collection of 34 coins consisting of dimes and quarters has a value of $5.50.
\n" ); document.write( "how many of each type of coin is there? \n" ); document.write( "

Algebra.Com's Answer #116209 by jojo14344(1513) $\"\"$ $\"About$

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$\"D%2BQ=34coins\"$ -------------------------> eqn 1
\n" ); document.write( "In eqn 1, we get $\"D=34-Q\"$ -------------> eqn 2
\n" ); document.write( "Also,
\n" ); document.write( " $\"0.10D%2B0.25Q=5.50\"$ --------------------> eqn 3
\n" ); document.write( "Substitute eqn 2 in eqn 3:
\n" ); document.write( " $\"0.10%2834-Q%29%2B0.25Q=5.50\"$
\n" ); document.write( " $\"3.4-0.10Q%2B0.25Q=5.50\"$
\n" ); document.write( " $\"0.15Q=5.50-3.40=2.10\"$
\n" ); document.write( " $\"cross%280.15%29Q%2Fcross%280.15%29=cross%282.10%2914%2Fcross%280.15%29\"$
\n" ); document.write( " $\"Q=14coins\"$ ---------> no. of Quarters
\n" ); document.write( "Go back eqn 2:
\n" ); document.write( " $\"D=34-14=20\"$ --------> no. of Dimes
\n" ); document.write( "in doubt? go back eqn 3:
\n" ); document.write( " $\"0.10%2820%29%2B0.25%2814%29=5.50\"$
\n" ); document.write( " $\"2.00%2B3.50=5.50\"$
\n" ); document.write( " $\"5.50=5.50\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
\n" ); document.write( " \n" ); document.write( "

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