Question

Danny attends a birthday party that is serving pizza. He sees that there are 4 pizzas on the table. One whole cheese pizza, cut into fifths, one whole pepperoni pizza, cut into fifths, one whole sausage pizza, cut into fifths, and part of a veggie pizza, with two pieces left of the original five. Which mixed number represents the amount of pizza that is left?(1 point)
Responses

3 35
3
5
3 3 fifths

3 45
4
5
3 4 fifths

3 25
2
5
3 2 fifths

3 15

Answer 1

To find the total amount of pizza left, we need to analyze each type of pizza:

1. **Cheese Pizza:** There is 1 whole cheese pizza cut into fifths, so there are 5 pieces total.

2. **Pepperoni Pizza:** There is 1 whole pepperoni pizza cut into fifths, giving another 5 pieces.

3. **Sausage Pizza:** There is 1 whole sausage pizza cut into fifths, resulting in another 5 pieces.

4. **Veggie Pizza:** There is part of a veggie pizza left, with 2 pieces remaining out of the original 5.

Now we sum up the total amount of pizza:

- Total pieces from cheese: 5 pieces
- Total pieces from pepperoni: 5 pieces
- Total pieces from sausage: 5 pieces
- Pieces left from veggie: 2 pieces

Now add them together:

\[
5 (cheese) + 5 (pepperoni) + 5 (sausage) + 2 (veggie) = 17 \text{ pieces of pizza}
\]

Next, we can express this total in terms of whole pizzas and leftover pieces. Since each pizza is cut into 5 pieces:

1 whole pizza = 5 pieces.

Dividing 17 pieces by 5 gives us:
- 17 ÷ 5 = 3 with a remainder of 2.

This means there are 3 whole pizzas and 2 pieces remaining. In terms of fifths, the 2 pieces out of 5 can be expressed as \( \frac{2}{5} \).

Thus, combining this gives us:
\[
3 \text{ whole pizzas } + \frac{2}{5} \text{ pizza } = 3 \frac{2}{5}
\]

So the amount of pizza left can be represented by the mixed number \( 3 \frac{2}{5} \).

**Final answer: 3 2 fifths**