document.write( "Question 15402: Admission to a baseball game is $3.50 for general admissions and $6.50 for reserved seats. The receipts were $4491.50 for 967 paid admissions. How many of each ticket were sold? \n" ); document.write( "
Algebra.Com's Answer #7636 by LilSkittleMd(119)![]() ![]() ![]() You can put this solution on YOUR website! Let g=general admissions \n" ); document.write( "r=reserved seats \n" ); document.write( "g+r=967 \n" ); document.write( "3.50g+6.50r=4491.50 \n" ); document.write( "Solve for g in the first equation \n" ); document.write( "g=967-r \n" ); document.write( "Substitute the value of g in the second equation \n" ); document.write( "3.50(967-r)+6.50r=4491.50 \n" ); document.write( "Distribute \n" ); document.write( "3384.50-3.50r+6.50r=4491.50 \n" ); document.write( "3384.50+3r=4491.50 \n" ); document.write( "3r=1107 \n" ); document.write( "r=369 \n" ); document.write( "Now plug in the value of r into one of the original equations \n" ); document.write( "g+369=967 \n" ); document.write( "g=598 \n" ); document.write( "There were 598 general admission tickets sold and 369 reserved seat tickets sold \n" ); document.write( " |