document.write( "Question 209071: A childs coin bank contains 2.58 in pennies and nickels.If the number of pennies is 36 less than 2 times the number of nickels, how many pennies are in the bank? \n" ); document.write( "

Algebra.Com's Answer #158038 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A childs coin bank contains 2.58 in pennies and nickels.
\n" ); document.write( "If the number of pennies is 36 less than 2 times the number of nickels,
\n" ); document.write( " how many pennies are in the bank?
\n" ); document.write( ":
\n" ); document.write( "Let p = no. pennies
\n" ); document.write( "let n = no. of nickels
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"coin bank contains 2.58 in pennies and nickels.\"
\n" ); document.write( ".01p + .05n = 2.58
\n" ); document.write( "Multiply equation by 100 to get rid of the decimals, use cents
\n" ); document.write( "1p + 5n = 258
\n" ); document.write( ":
\n" ); document.write( "\"the number of pennies is 36 less than 2 times the number of nickels,\"
\n" ); document.write( "p = 2n - 36
\n" ); document.write( ":
\n" ); document.write( "Substitute (2n-36) for p in the cents amt equation
\n" ); document.write( "(2n-36) + 5n = 258
\n" ); document.write( "2n + 5n = 258 + 36
\n" ); document.write( "7n = 294
\n" ); document.write( "n = $\"294%2F7\"$
\n" ); document.write( "n = 42 nickels
\n" ); document.write( "then
\n" ); document.write( "p = 2(42) - 36
\n" ); document.write( "p = 84 - 36
\n" ); document.write( "p = 48 pennies
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in original $amt equation
\n" ); document.write( ".01(48) + .05(42) =
\n" ); document.write( ".48 + 2.10 = 2.58
\n" ); document.write( " \n" ); document.write( "

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