Cognitive Reflection Test (CRT) Practice

Question: 1 / 400

If a bat and ball together cost $1.10 and the bat costs $1.00 more than the ball, how much does the ball cost?

$0.01

$0.05

To determine the cost of the ball, let's break down the problem using the information provided. We know that the total cost of the bat and ball together is $1.10, and the bat costs $1.00 more than the ball.

Let's denote the cost of the ball as "x." Then, according to the information, the cost of the bat would be "x + $1.00." When we combine the costs, we get the equation:

x (cost of the ball) + (x + $1.00) (cost of the bat) = $1.10.

Simplifying this equation, we have:

2x + $1.00 = $1.10.

Subtracting $1.00 from both sides gives us:

2x = $0.10.

Dividing both sides by 2 results in:

x = $0.05.

Thus, the cost of the ball is $0.05. This makes sense because if the ball costs $0.05, then the bat, which is $1.00 more, would cost $1.05. Together, they sum up to the total of $1.10.

This reasoning clarifies why the answer indicating that the ball costs

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$0.10

$0.15

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