document.write( "Question 104407: Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. How many of each bill does Anna have? \n" ); document.write( "

Algebra.Com's Answer #76043 by Fombitz(32388) $\"\"$ $\"About$

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12 bills total
\n" ); document.write( "$5 and $10 bills possible
\n" ); document.write( "$100 total
\n" ); document.write( "Let F be the number of $5 bills and T be the number of $10 bills.
\n" ); document.write( "1. $\"F%2BT=12\"$ Bill total equation.
\n" ); document.write( "2. $\"5%2AF%2B10%2AT=100\"$ Value equation.
\n" ); document.write( "Use equation 1 to solve for T and substitute into equation 2.
\n" ); document.write( " 1. $\"F%2BT=12\"$
\n" ); document.write( " $\"T=12-F\"$
\n" ); document.write( "2. $\"5%2AF%2B10%2AT=100\"$
\n" ); document.write( " $\"5%2AF%2B10%2A%2812-F%29=100\"$ Value equation.
\n" ); document.write( " $\"5F%2B120-10F=100\"$ Distributive property.
\n" ); document.write( " $\"-5F%2B120=100\"$ Simplify.
\n" ); document.write( " $\"-5F%2B120-120=100-120\"$ Additive inverse of 120.
\n" ); document.write( " $\"-5F=-20\"$ Multiplicative inverse of (-5).
\n" ); document.write( " $\"F=4\"$ Number of $5 bills.
\n" ); document.write( " $\"T=12-F=8\"$ Number of $10 bills.
\n" ); document.write( "Number of $5 bills is 4.
\n" ); document.write( "Number of $10 bills is 8. \n" ); document.write( "

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