One weekend, there were 95 pizzas ordered for the sophomore dorm. That weekend 19 customers ordered their pizza with just pepperoni, 17 customers ordered their pizza with just sausage, 18 ordered theirs with just onions, 15 ordered theirs with pepperoni and sausage, 13 ordered theirs with sausage and onions, 6 ordered theirs with pepperoni and onions, and 5 ordered theirs with all three items. The remaining pizzas were cheese pizzas with no toppings. How many customers ordered at most two toppings

if you mean 2 or less toppings the answer is 90. 95 minus the 5 with all 3 toppings.

To find out how many customers ordered at most two toppings, we need to count the total number of customers who ordered pizzas with one topping, two toppings, or three toppings.

Let's break it down step by step:

First, we know that there were 95 pizzas ordered in total. We also know that some pizzas were cheese pizzas with no toppings, but we don't know how many yet.

Next, we can add up the number of customers who ordered pizzas with each combination of toppings:

- 19 customers ordered their pizza with just pepperoni.
- 17 customers ordered their pizza with just sausage.
- 18 customers ordered their pizza with just onions.
- 15 customers ordered their pizza with both pepperoni and sausage.
- 13 customers ordered their pizza with both sausage and onions.
- 6 customers ordered their pizza with both pepperoni and onions.
- 5 customers ordered their pizza with all three toppings.

Now, we can find the total number of toppings ordered. Since each customer can order multiple pizzas but we only want to count unique customers, we need to count the number of customers for each combination of toppings:

- Total number of customers who ordered pizzas with pepperoni: 19 + 15 + 6 + 5 = 45.
- Total number of customers who ordered pizzas with sausage: 17 + 15 + 13 + 5 = 50.
- Total number of customers who ordered pizzas with onions: 18 + 13 + 6 + 5 = 42.

Finally, we can calculate the total number of pizzas with toppings:

- Total number of pizzas with pepperoni: 45.
- Total number of pizzas with sausage: 50.
- Total number of pizzas with onions: 42.

To find the number of cheese pizzas with no toppings, we subtract the total number of pizzas with toppings from the total number of pizzas ordered:

95 - (45 + 50 + 42) = 95 - 137 = -42.

However, it doesn't make sense to have negative pizzas. This means there was an error in the given information or calculation.

Therefore, based on the information provided, we cannot determine the number of customers who ordered pizzas with at most two toppings.