document.write( "Question 672830: Josh was in charge of bringing bags of chips to a homecoming party the doritos cost $1.79 per bag and the cheetos cost $2.01 per bag he bought 15 bags of chips together how many of each type did he buy if he spent a total of $28.17? \n" ); document.write( "

Algebra.Com's Answer #418334 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = bags of Doritos bought
\n" ); document.write( "Let $\"+b+\"$ = bags of Cheetos bought
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+15+\"$
\n" ); document.write( "(2) $\"+1.79a+%2B+2.01b+=+28.17+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) $\"+179a+%2B+201b+=+2817+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+179+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+179a+%2B+201b+=+2817+\"$
\n" ); document.write( "(1) $\"+-179a+-+179b+=+-2685+\"$
\n" ); document.write( " $\"+22b+=+132+\"$
\n" ); document.write( " $\"+b+=+6+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+6+=+15+\"$
\n" ); document.write( "(1) $\"+a+=+9+\"$
\n" ); document.write( "9 bags of Doritos were bought
\n" ); document.write( "6 bags of Cheetos were bought
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+1.79%2A9+%2B+2.01%2A6+=+28.17+\"$
\n" ); document.write( "(2) $\"+16.11+%2B+12.06+=+28.17+\"$
\n" ); document.write( "(2) $\"+28.17+=+28.17+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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