Two fifths of the performance were sold out. There were 15 performances that were not sold out. a. How many performances were there? b. What was the ratio sold out to not sold out performances?

25

2:3

Step-by-step explanation:

2/5 were sold out

5/5 - 2/5 = 3/5

That means 3/5 were not sold out

p = performances

there were 15 that were not sold out

3/5 * p = 15

Multiply each side by 5/3

5/3 * 3/5 p = 15*5/3

p = 25

There were 25 performances

sold out to not sold out

2/5 : 3/5

Multiply by 5

2: 3