document.write( "Question 511343: A storekeeper goes to the bank to get $10 worth of change. He requests twice as many quarters as half dollars, twice as many dimes as quarters, three times as many nickels as dimes, and no pennies or dollars. How many of each coin did the storekeeper get? \n" ); document.write( "
Algebra.Com's Answer #342159 by josmiceli(19441)\"\" \"About 
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Let \"+h+\" = number of half dollars
\n" ); document.write( "Let \"+q+\" = number of quarters
\n" ); document.write( "Let \"+d+\" = number of dimes
\n" ); document.write( "Let \"+n+\" = number of nickels
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+q+=+2h+\"
\n" ); document.write( "(2) \"+d+=+2q+\"
\n" ); document.write( "(3) \"+n+=+3d+\"
\n" ); document.write( "(4) \"+5n+%2B+10d+%2B+25q+%2B+50h+=+1000+\" ( in cents )
\n" ); document.write( "---------------
\n" ); document.write( "There are 4 unknowns and 4 equations, so
\n" ); document.write( "it should be solvable.
\n" ); document.write( "(1) \"+q+=+2h+\"
\n" ); document.write( "(1) \"+h+=+q%2F2+\"
\n" ); document.write( "and
\n" ); document.write( "(3) \"+n+=+3d+\"
\n" ); document.write( "(3) \"+n+=+3%2A2q+\"
\n" ); document.write( "Now substitute (1) and (2) into (4)
\n" ); document.write( "(4) \"+5%2A6q+%2B+10%2A2q+%2B+25q+%2B+50%2A%28q%2F2%29++=+1000+\"
\n" ); document.write( "(4) \"+30q+%2B+20q+%2B+25q+%2B+25q+=+1000+\"
\n" ); document.write( "(4) \"+100q+=+1000+\"
\n" ); document.write( "(4) \"+q+=+10+\"
\n" ); document.write( "-------------
\n" ); document.write( "(1) \"+h+=+q%2F2+\"
\n" ); document.write( "(1) \"+h+=+5+\"
\n" ); document.write( "-----------
\n" ); document.write( "(2) \"+d+=+2q+\"
\n" ); document.write( "(2) \"+d+=+20+\"
\n" ); document.write( "-----------
\n" ); document.write( "(3) \"+n+=+3d+\"
\n" ); document.write( "(3) \"+n+=+60+\"
\n" ); document.write( "-----------
\n" ); document.write( "The storekeeper gets
\n" ); document.write( "60 nickels
\n" ); document.write( "20 dimes
\n" ); document.write( "10 quarters
\n" ); document.write( "5 half dollars
\n" ); document.write( "check:
\n" ); document.write( "(4) \"+5%2A60+%2B+10%2A20+%2B+25%2A10+%2B+50%2A5+=+1000+\"
\n" ); document.write( "(4) \"+300+%2B+200+%2B+250+%2B+250+=+1000+\"
\n" ); document.write( "(4) \"+1000+=+1000+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );