document.write( "Question 1026149: Mary has a jar with one-dollar bills, half-dollar coins, and quarters valuing $14.00. She has twice as many quarters than she does half-dollar coins and the same amount of half-dollar coins as one-dollar bills. How many of each does she have? \n" ); document.write( "

Algebra.Com's Answer #641411 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+b+\"$ = number of $1 bills
\n" ); document.write( "Let $\"+h+\"$ = number of half dollar coins
\n" ); document.write( "Let $\"+q+\"$ = number of quarters
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+q+=+2h+\"$
\n" ); document.write( "(2) $\"+h+=+b+\"$
\n" ); document.write( "(3) $\"+1%2Ab+%2B+.5%2Ah+%2B+.25q+=+14+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(3) $\"+100b+%2B+50h+%2B+25q+=+1400+\"$
\n" ); document.write( "(3) $\"+4b+%2B+2h+%2B+q+=+56+\"$
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) $\"+4%2Ah+%2B+2%2Ah+%2B+2%2Ah+=+56+\"$
\n" ); document.write( "(3) $\"+8h+=+56+\"$
\n" ); document.write( "(3) $\"+h+=+7+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+h+=+b+\"$
\n" ); document.write( "(2) $\"+b+=+7+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+q+=+2h+\"$
\n" ); document.write( "(1) $\"+q+=+2%2A7+\"$
\n" ); document.write( "(1) $\"+q+=+14+\"$
\n" ); document.write( "---------------
\n" ); document.write( "She has
\n" ); document.write( "7 $1 bills
\n" ); document.write( "7 half dollar coins
\n" ); document.write( "14 quarters
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( "(3) $\"+1%2Ab+%2B+.5%2Ah+%2B+.25q+=+14+\"$
\n" ); document.write( "(3) $\"+1%2A7+%2B+.5%2A7+%2B+.25%2A14+=+14+\"$
\n" ); document.write( "(3) $\"+7+%2B+3.5+%2B+3.5+=+14+\"$
\n" ); document.write( "(3) $\"+14+=+14+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );