Question

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?

Answer 1

Answer:209

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

`(206+185+x)/(3)=200`

600=206+185+x

x=209

Therefore tickets sold in third day is 209

Answer 2

200 X 3 = 600 tickets total need to be sold

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