document.write( "Question 178162: A storekeeper goes to the bank to get $10 worth of change. She requests twice as many quarters as half dollars, twice as many dines as quarters, three times as many nickels as dimes, and no pennies or dollars. How many of each coin did the storekeeper get?\r
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document.write( "What I have done so far:\r
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document.write( "q (quarters) h(half dollars) d(dimes) n(nickels)\r
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document.write( "Quarters = q
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document.write( "Half dollars = 2q
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document.write( "Dimes = 3q
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document.write( "Nickels = 9q\r
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document.write( ".50(2q) + .25(q)+ .10(3q) + .05(9q) = 10
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document.write( "q + .25q + .30q + .45q = 10
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document.write( "10q = 10
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document.write( "q=1\r
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document.write( "But, that doesn't make sense. \n" );
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Algebra.Com's Answer #133109 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! A storekeeper goes to the bank to get $10 worth of change. She requests twice as many quarters as half dollars, twice as many dines as quarters, three times as many nickels as dimes, and no pennies or dollars. How many of each coin did the storekeeper get? \r \n" ); document.write( "\n" ); document.write( "What I have done so far: \n" ); document.write( "q (quarters) h(half dollars) d(dimes) n(nickels) \n" ); document.write( "Quarters = q \n" ); document.write( "Half dollars = 2q \n" ); document.write( "Dimes = 3q \n" ); document.write( "Nickels = 9q \n" ); document.write( ".50(2q) + .25(q)+ .10(3q) + .05(9q) = 10 \n" ); document.write( "q + .25q + .30q + .45q = 10 \n" ); document.write( "10q = 10 \n" ); document.write( "q=1 \n" ); document.write( "But, that doesn't make sense. \n" ); document.write( "--------------------- \n" ); document.write( "Do it in cents. \n" ); document.write( "q (quarters) h(half dollars) d(dimes) n(nickels) \n" ); document.write( "q = 2h \n" ); document.write( "d = 4h \n" ); document.write( "n = 12h \n" ); document.write( "Then, \n" ); document.write( "50h + 25*2h + 10*4h + 5*12h = 1000 \n" ); document.write( "200h = 1000 \n" ); document.write( "h = 5 \n" ); document.write( "You can take it from there\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |