document.write( "Question 769337: Coffee costs $12 per case and tea costs $8 per case. If an order comes in for a total of 250 cases for $2,600, what was the specific number of cases of tea?\r
\n" ); document.write( "\n" ); document.write( "Word problems are the most difficult for me. :-(\r
\n" ); document.write( "\n" ); document.write( "Thank you!
\n" ); document.write( "Linda \n" ); document.write( "

Algebra.Com's Answer #468799 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+c+\"$ = number of cases of coffee
\n" ); document.write( "Let $\"+t+\"$ = number of cases of tea
\n" ); document.write( "--------------
\n" ); document.write( "(1) $\"+c+%2B+t+=+250+\"$
\n" ); document.write( "(2) $\"+12c+%2B+8t+=+2600+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+8+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+12c+%2B+8t+=+2600+\"$
\n" ); document.write( "(1) $\"+-8c+-+8t+=+-2000+\"$
\n" ); document.write( " $\"+4c+=+600+\"$
\n" ); document.write( " $\"+c+=+150+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+c+%2B+t+=+250+\"$
\n" ); document.write( "(1) $\"+150+%2B+t+=+250+\"$
\n" ); document.write( "(1) $\"+t+=+100+\"$
\n" ); document.write( "150 = number of cases of coffee
\n" ); document.write( "100 = number of cases of tea
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+12c+%2B+8t+=+2600+\"$
\n" ); document.write( "(2) $\"+12%2A150+%2B+8%2A100+=+2600+\"$
\n" ); document.write( "(2) $\"+1800+%2B+800+=+2600+\"$
\n" ); document.write( "(2) $\"+2600+=+2600+\"$
\n" ); document.write( "OK \n" ); document.write( "

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