A 6000 seat theatre has tickets for sale at $28 and $40. How many tickets should be sold at each price for sellout performance to generate a total revenue of $187,200 the number of tickets for sale $28 should be

First, assign variables:X = # of $24 tickets, Y = # or $40 tickets write equations based on the data presented: "6000 seat theater ... " X + Y = 6000 <> "total revenue of 176,000"The revenue from each type of ticket is the cost times the number sold, so: 24X + 40Y = 176,000 <> from equation 1: X = 6000 - Ysubstitute this into equation 2: (replace X with 6000-Y) 24 (6000 - Y) + 40Y = 176,000expand: 144,000 - 24Y + 40Y = 176,000rearrange and simplify: 16Y = 32,000 Y = 2,000from equation 1: X = 4,000 Check by plugging into equation #2 I don't see a way to get to "13Y = 19,500"