document.write( "Question 140141: Samantha has a total of one hundred forty-one pennies,nickels and quarters.She has a total of $15.17. She has fifteen more quarters than pennies and fifteen fewer quarters than nickels. How many of each coin does she have? \n" ); document.write( "
Algebra.Com's Answer #102108 by ankor@dixie-net.com(22740)\"\" \"About 
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Write an equation for each statement:
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\n" ); document.write( "Samantha has a total of one hundred forty-one pennies,nickels and quarters.
\n" ); document.write( "p + n + q = 141
\n" ); document.write( ":
\n" ); document.write( "She has a total of $15.17.
\n" ); document.write( ".01p + .05n + .25q = 15.17
\n" ); document.write( ":
\n" ); document.write( "She has fifteen more quarters than pennies
\n" ); document.write( "p = q - 15
\n" ); document.write( ":
\n" ); document.write( "and fifteen fewer quarters than nickels.
\n" ); document.write( "n = q + 15
\n" ); document.write( ":
\n" ); document.write( "how many of each coin does she have?
\n" ); document.write( ":
\n" ); document.write( "Replace p with (q-15) and n with (q+15); find q
\n" ); document.write( ".01(q-15) + .05(q+15) + .25q = 15.17
\n" ); document.write( ":
\n" ); document.write( ".01q - .15 + .05q + .75 + .25q = 15.17
\n" ); document.write( ":
\n" ); document.write( ".31q + .60 = 15.17
\n" ); document.write( ":
\n" ); document.write( ".31q = 15.17 - .60
\n" ); document.write( ":
\n" ); document.write( ".31q = 14.57
\n" ); document.write( "q = \"14.57%2F.31\"
\n" ); document.write( "q = 47 quarters.
\n" ); document.write( ":
\n" ); document.write( "p = 47 - 15 = 32 pennies
\n" ); document.write( "and
\n" ); document.write( "n = 47 + 15 = 62 nickels
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\n" ); document.write( "Check solution by finding the number of coins:
\n" ); document.write( "32 + 62 + 47 = 141 coins \r
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