a 12-slice pizza was made with only pepperoni and mushroom toppings, and every slice has at least one topping. only six slices hav pepperoni, and exactly ten slices have mushrooms. how many slices have both pepperoni and mushrooms?

its 4

i agree with bob. its 4.

To find the number of slices that have both pepperoni and mushrooms, we first need to determine the number of slices without any toppings and the number of slices with either pepperoni or mushrooms.

We are given that there are 12 total slices, 6 slices with pepperoni, and 10 slices with mushrooms. However, it's important to note that the sum of these two numbers (6 + 10 = 16) exceeds the total number of slices (12), which indicates an error in the information provided.

Since every slice has at least one topping, the minimum number of slices without any toppings should be 0. Therefore, we need to adjust the numbers given.

Let's assume that there are x slices with both pepperoni and mushrooms. Now, we can define the relationships as follows:

Number of slices with pepperoni = Number of slices with pepperoni only + Number of slices with both toppings.
Number of slices with mushrooms = Number of slices with mushrooms only + Number of slices with both toppings.

We know that the number of slices with pepperoni is 6, the number of slices with mushrooms is 10, and the total number of slices is 12. Using these equations, we can solve for the number of slices with both toppings (x).

6 = Number of slices with pepperoni only + x
10 = Number of slices with mushrooms only + x

To eliminate the variable x, we can subtract the first equation from the second equation:
10 - 6 = (Number of slices with mushrooms only + x) - (Number of slices with pepperoni only + x)
4 = Number of slices with mushrooms only - Number of slices with pepperoni only

Now, we need to find the value of 4, which represents the difference between the number of slices with mushrooms only and the number of slices with pepperoni only. Since every slice has either mushroom or pepperoni or both, we can conclude that there are no slices with only mushrooms and no slices with only pepperoni. Therefore, the value of 4 is equal to 0.

Since there are no slices with mushrooms only or pepperoni only, all the slices have both toppings. Thus, the answer to the question "how many slices have both pepperoni and mushrooms?" is 12 (the total number of slices).

In summary, the information provided seems to be inconsistent, as it states that "only six slices have pepperoni" and "exactly ten slices have mushrooms," yet the total number of slices is 12. Based on the given information, we can conclude that all slices have both pepperoni and mushrooms.

its two >:(