By taking a quotient, we will see that the number of guests is 540.
Because we know that each guest ate a fixed amount of pizza, and there was no pizza left, we know that the number of guests will be equal to the quotient between the total number of pizzas bought, and the amount of pizza that each guest ate.
This is:
[tex]N = \frac{90}{1/6}[/tex]
We can rewrite that quotient as:
[tex]N = \frac{90}{1} / \frac{1}{6} = \frac{90*6}{1*1} = 540[/tex]
So the number of guests is 540.
If you want to learn more about quotients, you can read:
https://brainly.com/question/7068223