document.write( "Question 135055: A piggy bank contains $4.40 in nickles, dimes and quarters. there are twice as many quarters as nickles and 5 more dimes than nickles. how many of each kind of coins are there? \n" ); document.write( "

Algebra.Com's Answer #98917 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let's deal in pennies, ok
\n" ); document.write( "Let x=number of nickels; value of the nickels=5x
\n" ); document.write( "Then x+5=number of dimes; value of dimes=10(x+5)=10x+50
\n" ); document.write( "And 2x=number of quarters; value of quarters=25*2x=50x\r
\n" ); document.write( "\n" ); document.write( "Now we are told that the total value is 440, so:\r
\n" ); document.write( "\n" ); document.write( "5x+10x+50+50x=440 subtract 50 from each side\r
\n" ); document.write( "\n" ); document.write( "5x+10x+50x+50-50=440-50 collect like terms
\n" ); document.write( "65x=390 divide both sides by 65\r
\n" ); document.write( "\n" ); document.write( "x=6-------------------------number of nickels
\n" ); document.write( "x+5=6+5=11------------------------number of dimes
\n" ); document.write( "2x=2*6=12-------------------------number of quarters\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "6*5+11*10+12*25=440
\n" ); document.write( "30+110+300=440
\n" ); document.write( "440=440\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor\r
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