document.write( "Question 105150: Your piggy bank has 25 coins in it; some are quarters and some are nickels. You have $3.45. How many nickels do you have? (I know you can figure this out by trial and error, but you must write the equations and solve.) \n" ); document.write( "
Algebra.Com's Answer #76511 by Fombitz(32388)\"\" \"About 
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\"Your piggy bank has 25 coins in it; some are quarters and some are nickels.\"
\n" ); document.write( "First name your variables.
\n" ); document.write( "Q-quarters
\n" ); document.write( "N-nickels
\n" ); document.write( "1.\"Q%2BN=25\"
\n" ); document.write( "Each quarter has a value of $0.25.
\n" ); document.write( "Each nickel has a value of $0.05.
\n" ); document.write( "\"You have $3.45.\"
\n" ); document.write( "\"0.25%2AQ%2B0.05%2AN=3.45\"
\n" ); document.write( "2.\"25Q%2B5N=345\" Multiply both sides by 100 to get rid of the decimals.
\n" ); document.write( "Use equation 1 and come up with an expression for Q and use it in 2.
\n" ); document.write( "1.\"Q%2BN=25\"
\n" ); document.write( "\"Q%2BN-N=25-N\"
\n" ); document.write( "\"Q=25-N\"
\n" ); document.write( "Now substitute into 2.
\n" ); document.write( "2.\"25Q%2B5N=345\"
\n" ); document.write( "\"25%2825-N%29%2B5N=345\"
\n" ); document.write( "\"625-25N%2B5N=345\"
\n" ); document.write( "\"625-625-20N=345-625\" Use the additive inverse of 625.
\n" ); document.write( "\"-20N=-280\"
\n" ); document.write( "\"-20N%2F%28-20%29=-280%2F%28-20%29\" Use the multiplicative inverse of (-20).
\n" ); document.write( "\"N=14\"
\n" ); document.write( "\"Q=25-N\"
\n" ); document.write( "\"Q=25-14\"
\n" ); document.write( "\"Q=11\"
\n" ); document.write( "Check your answer
\n" ); document.write( "\"25Q%2B5N=345\"
\n" ); document.write( "\"25%2811%29%2B5%2814%29=345\"
\n" ); document.write( "\"275%2B70=345\"
\n" ); document.write( "\"345=345\"
\n" ); document.write( "Good answer.
\n" ); document.write( "11 quarters and 14 nickels in the piggy bank.
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