Mama Joan's sells only pizza. They offer five types of crust, two types of cheese, five meat toppings and seven vegetable toppings. If you must order exactly one type of cheese, one meat topping and one vegetable topping on your pizza, how many different pizzas can you order at Mama Joan's?
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Step 1 ：The problem is asking for the total number of different pizzas that can be ordered. This is a combination problem where we multiply the number of choices for each category (crust, cheese, meat topping, and vegetable topping) together to get the total number of combinations.

Step 2 ：Given that there are 5 types of crust, 2 types of cheese, 5 meat toppings and 7 vegetable toppings.

Step 3 ：We calculate the total number of different pizzas that can be ordered by multiplying the number of choices for each category together. This can be represented as \(5 \times 2 \times 5 \times 7\).

Step 4 ：Calculating the above expression gives us a total of 350 different pizzas.

Step 5 ：Final Answer: The total number of different pizzas that can be ordered at Mama Joan's is \(\boxed{350}\).