Even and Odd Draws

Welcome! You are encouraged to register with the site and login (for free). When you register, you support the site and your question history is saved.

The player of a certain game drew a number of cards from a deck in which each card was labeled with an integer from 1 to 10. Four more even than odd numbers were drawn. How many times were even numbers drawn?

(1) The player drew 12 cards.

(2) The player received 4 points for each even number and 2 points for each odd number drawn, for a total of 40 points.

Review: Even and Odd Draws




Explanation

The wording of this question is potentially confusing because we are counting numbers. For example, if we call E the number of cards drawn that have even numbers, E itself could be odd or even. We'll call the number of odd cards D (to avoid confusion with zero). We are told, therefore, that . Since we have one equation with two variables, one way to get sufficiency would be to get a distinct equation with these variables. On to the statements, separately first.

Statement (1) gives us another equation, namely , so we can solve for E (it's 8). Sufficient.

Statement (2) gives us another equation, namely , so we can solve for E (it's 8). Sufficient.

The correct answer is (D).


If you believe you have found an error in this question or explanation, please contact us and include the question title or URL in your message.
Continue »