During a three-day premiere, a theater must sell an average of 200 tickets per night to make a profit. for the first two nights, 206 and 185 tickets were sold. how many tickets must be sold for the third night for the theater to make a profit?

200 X 3 = 600 tickets total need to be sold

600-206-185 = 209 tickets need to be sold the third night

209

Step-by-step explanation:

Given

200 tickets needed to be sell per night to make a profit.

For first two nights 206 and 185 tickets were sold

Let x be the tickets sold on third day

therefore their average must be equal to 200

600=206+185+x

x=209

Therefore tickets sold in third day is  209