document.write( "Question 1033040: A piggy bank has five more dimes than nickels and three less quarters than twice the number of dimes. The total value of the money in the piggy bank is $17.20. Determine how many quarters are in the piggy bank. \n" ); document.write( "

Algebra.Com's Answer #647656 by josmiceli(19441) $\"\"$ $\"About$

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(1) $\"+d+=+n+%2B+5+\"$
\n" ); document.write( "(2) $\"+q+=+2d+-+3+\"$
\n" ); document.write( "(3) $\"+5n+%2B+10d+%2B+25q+=+1720+\"$ ( in cents )
\n" ); document.write( "----------------------------
\n" ); document.write( "This si 3 equations and 3 unknowns, so
\n" ); document.write( "it's solvable
\n" ); document.write( "----------------
\n" ); document.write( "(1) $\"+n+=+d+-+5+\"$
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) $\"+5%2A%28+d-5+%29+%2B+10d+%2B+25%2A%28+2d-3+%29+=+1720+\"$
\n" ); document.write( "(3) $\"+5d+-+25+%2B+10d+%2B+50d+-+75+=+1720+\"$
\n" ); document.write( "(3) $\"+65d+=+1820+\"$
\n" ); document.write( "(3) $\"+d+=+28+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+n+=+d+-+5+\"$
\n" ); document.write( "(1) $\"+n+=+28+-+5+\"$
\n" ); document.write( "(1) $\"+n+=+23+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+q+=+2d+-+3+\"$
\n" ); document.write( "(2) $\"+q+=+2%2A28+-+3+\"$
\n" ); document.write( "(2) $\"+q+=+56+-+3+\"$
\n" ); document.write( "(2) $\"+q+=+53+\"$
\n" ); document.write( "there are 53 quarters
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( "(3) $\"+5n+%2B+10d+%2B+25q+=+1720+\"$
\n" ); document.write( "(3) $\"+5%2A23+%2B+10%2A28+%2B+25%2A53+=+1720+\"$
\n" ); document.write( "(3) $\"+115+%2B+280+%2B+1325+=+1720+\"$
\n" ); document.write( "(3) $\"+1720+=+1720+\"$
\n" ); document.write( "OK \n" ); document.write( "

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