document.write( "Question 547270: Jane has nickles, dimes and quaters which total $1.90. She has twice as many quaters as dimes. She has 3 times as many quaters as nickels. How many quaters does she have. \n" ); document.write( "

Algebra.Com's Answer #356332 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"n\"$ = number of nickels
\n" ); document.write( "Let $\"d\"$ = number of dimes
\n" ); document.write( "Let $\"q\"$ = number of quarters
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+q+=+2d+\"$
\n" ); document.write( "(2) $\"+q+=+3n+\"$
\n" ); document.write( "(3) $\"+5n+%2B+10d+%2B+25q+=+190+\"$ ( in cents )
\n" ); document.write( "--------------------------
\n" ); document.write( "From (1)
\n" ); document.write( "(1) $\"+5q+=+10d+\"$
\n" ); document.write( "(3) $\"+5n+%2B+5q+%2B+25q+=+190+\"$
\n" ); document.write( "and, from (2)
\n" ); document.write( "(2) $\"+n+=+q%2F3+\"$
\n" ); document.write( "(3) $\"+%285%2F3%29%2Aq+%2B+5q+%2B+25q+=+190+\"$
\n" ); document.write( "Multiply both sides by $\"3\"$
\n" ); document.write( "(3) $\"+5q+%2B+15q+%2B+75q+=+570+\"$
\n" ); document.write( "(3) $\"+95q+=+570+\"$
\n" ); document.write( "(3) $\"+q+=+6+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+q%2F2+\"$
\n" ); document.write( "(1) $\"+d+=+3+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+n+=+q%2F3+\"$
\n" ); document.write( " $\"+n+=+2+\"$
\n" ); document.write( "She has 2 nickels, 3 dimes, and 6 quarters
\n" ); document.write( "check answer:
\n" ); document.write( "(3) $\"+5%2A2+%2B+10%2A3+%2B+25%2A6+=+190+\"$
\n" ); document.write( "(3) $\"+10+%2B+30+%2B+150+=+190+\"$
\n" ); document.write( "(3) $\"+190+=+190+\"$
\n" ); document.write( "OK \n" ); document.write( "

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