document.write( "Question 1176182: In Jacks piggy bank, there is a collection of pennies, nickels, dimes, and quarters which amounts to $2.87. The number of quarters is one less than twice the number of nickels. There are 4 more pennies than nickels. The number of dimes is twice the number of pennies. How many coins of each kind are there? \n" ); document.write( "
Algebra.Com's Answer #802497 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
q,d,n,p
\n" ); document.write( "Quarters, Dimes, Nickels, Pennies\r
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\n" ); document.write( "\n" ); document.write( "\"system%28q=2n-1%2Cp-n=4%2Cd=2p%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%28q=2n-1%2Cn=p-4%2Cd=2p%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%28q=2%28p-4%29-1%2Cn=p-4%2Cd=2p%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%28q=2p-8-1%2Cn=p-4%2Cd=2p%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%28q=2p-9%2Cn=p-4%2Cd=2p%29\"---------These coin equations are all written in terms of p.\r
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\n" ); document.write( "\n" ); document.write( "The money equation as cents:
\n" ); document.write( "\"25q%2B10d%2B5n%2Bp=287\"\r
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\n" ); document.write( "\n" ); document.write( "Substitute for each coin other than p:
\n" ); document.write( "\"25%282p-9%29%2B10%2A2p%2B5%28p-4%29%2Bp=287\"---------One equation in terms of just variable p.\r
\n" ); document.write( "\n" ); document.write( "Simplify
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\n" ); document.write( "\"highlight%28p=7%29\"
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\n" ); document.write( "\"highlight%28q=5%29\"
\n" ); document.write( "\"highlight%28n=3%29\"
\n" ); document.write( "\"highlight%28d=14%29\"\r
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\n" ); document.write( "\n" ); document.write( "(!)
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