document.write( "Question 875611: Shannon had three times as many quarters as nickels. She had $2.40 in all. How many quarters did she have? \r
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Algebra.Com's Answer #528357 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+n+\"$ = the number of nickels she has
\n" ); document.write( "Let $\"+q+\"$ = the number of quarters she has
\n" ); document.write( "(1) $\"+q+=+3n+\"$
\n" ); document.write( "(2) $\"+5n+%2B+25q=+240+\"$ ( in cents )
\n" ); document.write( "-------------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+5n+%2B+25%2A%283n%29=+240+\"$
\n" ); document.write( "(2) $\"+5n+%2B+75n+=+240+\"$
\n" ); document.write( "(2) $\"+80n+=+240+\"$
\n" ); document.write( "(2) $\"+n+=+3+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+q+=+3n+\"$
\n" ); document.write( "(1) $\"+q+=+3%2A3+\"$
\n" ); document.write( "(1) $\"+q+=+9+\"$
\n" ); document.write( "--------------
\n" ); document.write( "She has 3 nickels and 9 quarters
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5%2A3+%2B+25%2A9=+240+\"$
\n" ); document.write( "(2) $\"+15+%2B+225+=+240+\"$
\n" ); document.write( "(2) $\"+240+=+240+\"$
\n" ); document.write( "OK\r
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