Question

Robert has 5 pizzas at his birthday party, and each pizza is cut into 5 slices. His guests take 2 pieces from each pizza. What equation would represent the amount of pizza that is left?

Answer 1

To find an equation representing the amount of pizza left after the guests take their slices, we can follow these steps:

1. **Determine the total number of pizzas**: Robert has 5 pizzas.
2. **Calculate the total number of slices per pizza**: Each pizza is cut into 5 slices. Therefore, the total number of slices across all pizzas is:
\[
5 \, \text{pizzas} \times 5 \, \text{slices/pizza} = 25 \, \text{slices}
\]

3. **Calculate the total number of slices taken by the guests**: If each guest takes 2 slices from each pizza, and there are 5 pizzas, the total number of slices taken is:
\[
2 \, \text{slices/pizza} \times 5 \, \text{pizzas} = 10 \, \text{slices}
\]

4. **Calculate the remaining slices of pizza**: The amount of pizza left can be represented as the total slices minus the slices taken:
\[
\text{Remaining slices} = \text{Total slices} - \text{Slices taken} = 25 - 10
\]

So, the equation that represents the amount of pizza left is:
\[
\text{Remaining slices} = 25 - 10
\]

In a more general form, if we let \( p \) represent the number of pizzas and \( s \) represent the slices taken from each pizza, the equation can be represented as:
\[
\text{Remaining slices} = (p \times 5) - (s \times p)
\]

In this specific scenario, with \( p = 5 \) and \( s = 2 \), it simplifies to:
\[
\text{Remaining slices} = (5 \times 5) - (2 \times 5) = 25 - 10
\]

Thus, the remaining amount of pizza can be expressed as:
\[
\text{Remaining slices} = 15
\]

Therefore, there are 15 slices left after the guests take their pieces.