# RE7 | z-ai/glm-5.2 | run 2

## Prompt

A bat and a ball cost $1.10 together. The bat costs $1.00 more than the ball. How much does the ball cost?

## Response

The ball costs **$0.05** (5 cents), and the bat costs $1.05.

**Calculation**

Let \( x \) be the cost of the ball.

\[
x + (x + 1.00) = 1.10
\]

\[
2x = 0.10
\]

\[
x = 0.05
\]

The common intuitive answer of $0.10 is incorrect because it fails to account for the $1.00 difference applying to both items.

Want to try another classic cognitive reflection problem?
