document.write( "Question 184065: Okay I am so lost on this question, so any help will be greatly appreciated.\r
\n" ); document.write( "\n" ); document.write( " Philip has 10 coins in his pocket. Philip has the same number of pennies as quarters and the same number of dimes as nickels. He also has one more nickel than he does pennies. If he has 97 cents, how many coins of each type does he have? \n" ); document.write( "
Algebra.Com's Answer #138118 by ankor@dixie-net.com(22740)\"\" \"About 
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Philip has 10 coins in his pocket. Philip has the same number of pennies as
\n" ); document.write( " quarters and the same number of dimes as nickels. He also has one more nickel
\n" ); document.write( " than he does pennies. If he has 97 cents, how many coins of each type does he have?
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\n" ); document.write( "let p, n, d, q = no. of pennies, nickels, dimes and quarter respectively
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\n" ); document.write( "Write an equation for each statement:
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\n" ); document.write( "\"Philip has 10 coins in his pocket.\"
\n" ); document.write( "p + n + d + q = 10
\n" ); document.write( ":
\n" ); document.write( "\" Philip has the same number of pennies as quarters\"
\n" ); document.write( "p = q
\n" ); document.write( ":
\n" ); document.write( "\" and the same number of dimes as nickels.\"
\n" ); document.write( "d = n
\n" ); document.write( ":
\n" ); document.write( "\"He also has one more nickel than he does pennies.\"
\n" ); document.write( "n = (p + 1)
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\n" ); document.write( "\" If he has 97 cents,\"
\n" ); document.write( "1p + 5n + 10d + 25q = 97
\n" ); document.write( ":
\n" ); document.write( " how many coins of each type does he have?
\n" ); document.write( ":
\n" ); document.write( "Using the given equations, replace p with q, and d with n in the 1st equation
\n" ); document.write( "q + n + n + q = 10
\n" ); document.write( "2n + 2q = 10
\n" ); document.write( "simplify, divide by 2
\n" ); document.write( "n + q = 5
\n" ); document.write( "n = (5-q) good for substitution
\n" ); document.write( ":
\n" ); document.write( "Do the same in the total value equation
\n" ); document.write( "1q + 5n + 10n + 25q = 97
\n" ); document.write( "15n + 26q = 97
\n" ); document.write( ":
\n" ); document.write( "Substitute (5-q) for n
\n" ); document.write( "15(5-q) + 26q = 97
\n" ); document.write( "75 - 15q + 26q = 97
\n" ); document.write( "11q = 97 - 75
\n" ); document.write( "11q = 22
\n" ); document.write( "q = \"22%2F11\"
\n" ); document.write( "q = 2 quarters
\n" ); document.write( ":
\n" ); document.write( "we know p = q, therefore
\n" ); document.write( "p = 2 pennies
\n" ); document.write( ":
\n" ); document.write( "we also know n = p + 1, therefore
\n" ); document.write( "n = 3 nickels
\n" ); document.write( ":
\n" ); document.write( "we know d = n, therefore
\n" ); document.write( "d = 3 dimes
\n" ); document.write( ":
\n" ); document.write( "Check solution, in total coin equation
\n" ); document.write( "2 + 3 + 3 + 2 = 10
\n" ); document.write( ":
\n" ); document.write( "You can check solution in total value equation
\n" ); document.write( "1q + 5n + 10n + 25q = \n" ); document.write( "
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