document.write( "Question 324871: Bill & Jose's Discount Cinema sold adults' tickets for $4.10 each and children's tickets for $2.70 each. Last Tuesday, a total of $331.30 was collected from 89 movie watchers. How many of each type of ticket were sold? (Let x represent the number of adults' tickets and y represent the number of children's tickets.) \n" ); document.write( "
Algebra.Com's Answer #232597 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Bill & Jose's Discount Cinema sold adults' tickets for $4.10 each and children's tickets for $2.70 each. Last Tuesday, a total of $331.30 was collected from 89 movie watchers. How many of each type of ticket were sold? (Let x represent the number of adults' tickets and y represent the number of children's tickets.) \n" ); document.write( "---------------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity: x + y = 89 \n" ); document.write( "Value ::4.1x+2.7y = 331.30 \n" ); document.write( "-------------------------------- \n" ); document.write( "Multiply thru 1st eq. by 410. \n" ); document.write( "Multiply thru 2nd eq. by 100 to get: \n" ); document.write( "------------------------------------------ \n" ); document.write( "410x + 410y = 410*89 \n" ); document.write( "410x + 270y = 33130 \n" ); document.write( "---------------------------- \n" ); document.write( "Subtract 2nd eq from 1st and solve for \"y\": \n" ); document.write( "40y = 3360 \n" ); document.write( "y = 84 (# of children tickets sold) \n" ); document.write( "--- \n" ); document.write( "Since x + y = 89, x = 5 (# of adult tickets sold) \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |