document.write( "Question 708691: A department store held a sale to sell all of the 214 winter jackets that remained after the season ended. Unitl noon, each jacket in the store was priced at $31.95. At noon, the price of the jackets was further reduced to $18.95. After the last jacket was sold, total receipts for the clearance sale were $5108.30. How many jackets were sold before noon and how many were sold after noon?\r
\n" ); document.write( "\n" ); document.write( "Make a system to solve.
\n" ); document.write( "

Algebra.Com's Answer #436362 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
\"x\" = number of jackets were sold before noon (at $31.95 each)
\n" ); document.write( "\"y\" = number of jackets were sold after noon (at $18.95 each)
\n" ); document.write( "All \"214\" jackets were sold, so
\n" ); document.write( "\"highlight%28x%2By=214%29\"
\n" ); document.write( "Before noon, the money received for selling \"x\" jackets at $31.95 each was
\n" ); document.write( "$\"31.95x\"
\n" ); document.write( "After noon, the amount received for selling \"y\" jackets at $18.95 each was
\n" ); document.write( "$\"18.95y\"
\n" ); document.write( "The total receipts of the clearance sale (all the money received for selling those jackets, in $ was
\n" ); document.write( "\"highlight%2831.95x%2B18.95y=5108.30%29\"
\n" ); document.write( "Those two equations form the system
\n" ); document.write( "\"system%28x%2By=214%2C31.95x%2B18.95y=5108.30%29\"
\n" ); document.write( "The first equation times 18.95,
\n" ); document.write( "\"18.95x%2B18.95y=18.95%2A214\" --> \"18.95x%2B18.95y=4055.30\"
\n" ); document.write( "can be subtracted from the second one to get
\n" ); document.write( "\"31.95x-18.95x=5108.30-4055.30\" --> \"13x=1053\" --> \"x=1053%2F13\" --> \"highlight%28x=81%29\"
\n" ); document.write( "That along with \"x%2By=214\" result in
\n" ); document.write( "\"81%2By=214\" --> \"y=214-81\" --> \"highlight%28y=133%29\"
\n" ); document.write( "
\n" );