document.write( "Question 974970: Sara is a cashier at a grocery store. She has counted 76 bills with a total of $580 consisting of $5 and $10 bills. How many of each type does she have? \n" ); document.write( "

Algebra.Com's Answer #596794 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = number of $5 bills
\n" ); document.write( "Let $\"+b+\"$ = number of $10 bills
\n" ); document.write( "------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+76+\"$
\n" ); document.write( "(2) $\"+5a+%2B+10b+=+580+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+5+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5a+%2B+10b+=+580+\"$
\n" ); document.write( "(1) $\"+-5a+-+5b+=+-380+\"$
\n" ); document.write( "------------------------
\n" ); document.write( " $\"+5b+=+200+\"$
\n" ); document.write( " $\"+b+=+40+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+40+=+76+\"$
\n" ); document.write( "(1) $\"+a+=+36+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "She has 36 $5 bills and
\n" ); document.write( "40 $10 bills
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5a+%2B+10b+=+580+\"$
\n" ); document.write( "(2) $\"+5%2A36+%2B+10%2A40+=+580+\"$
\n" ); document.write( "(2) $\"+180+%2B+400+=+580+\"$
\n" ); document.write( "(2) $\"+580+=+580+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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