Question
Joel ate twice as much pizza as Angela. Together they finished off a 12
-slice pizza. How many pieces did Angela eat?
-slice pizza. How many pieces did Angela eat?
Answers
GPT-4o mini
Let the number of slices Angela ate be \( x \). According to the problem, Joel ate twice as much pizza as Angela, so he ate \( 2x \) slices. Together, they finished off a 12-slice pizza. We can set up the following equation:
\[
x + 2x = 12
\]
Combining the terms on the left side, we get:
\[
3x = 12
\]
Now, divide both sides by 3:
\[
x = 4
\]
Thus, Angela ate \( \boxed{4} \) pieces of pizza.
To verify, if Angela ate 4 slices, then Joel ate:
\[
2x = 2 \times 4 = 8 \text{ slices}
\]
Adding both amounts together:
\[
4 + 8 = 12 \text{ slices}
\]
The solution is consistent, confirming Angela ate \( \boxed{4} \) slices.
\[
x + 2x = 12
\]
Combining the terms on the left side, we get:
\[
3x = 12
\]
Now, divide both sides by 3:
\[
x = 4
\]
Thus, Angela ate \( \boxed{4} \) pieces of pizza.
To verify, if Angela ate 4 slices, then Joel ate:
\[
2x = 2 \times 4 = 8 \text{ slices}
\]
Adding both amounts together:
\[
4 + 8 = 12 \text{ slices}
\]
The solution is consistent, confirming Angela ate \( \boxed{4} \) slices.