During a 20% off sale, Mia spent a total of $80 on 4 books, and 3 of the books cost $15 each. What was the average (arithmetic mean) amount that Mia spent per book for the 4 books?

Rationale

3, $15, and $80 only

To determine the average amount Mia spent per book, we need to analyze her purchases. Mia bought 4 books, where 3 of them cost $15 each, leading to a total expenditure of $80 after applying the 20% discount. Thus, the average spent per book can be calculated based on these figures.

A (4 and $80 only) YOUR ANSWER

This choice incorrectly identifies the number of books as 4, which is accurate, but it fails to include the cost of the individual books and the discount percentage. The average is dependent on both the number of books and the total expenditure, making this option incomplete.

B (4, 20%, and $80 only) YOUR ANSWER

While this choice includes the total number of books (4) and the total spent ($80), it neglects the individual book cost, which is crucial for calculating the average spent per book. Therefore, it does not provide a complete picture necessary to answer the question.

C (3, $15, and 20% only) YOUR ANSWER

This option correctly mentions the three books that cost $15 each and the discount percentage but omits the total number of books purchased (4) and the total amount spent ($80). Without the total spent, calculating the average would be impossible, making this choice insufficient.

D (3, $15, and $80 only) CORRECT

This is the correct choice as it accurately lists the number of the more expensive books (3), their cost ($15 each), and the total amount Mia spent ($80). These figures allow for the calculation of the average amount spent per book, which is essential to answering the question.

Conclusion

The average amount Mia spent per book is derived from the total amount she spent and the number of books purchased. The correct choice, D, encapsulates the necessary components: the number of books that cost $15, the total spent, allowing for the calculation of the average. Other options fail to include all relevant information needed to derive the answer accurately.

During a 20% off sale, Mia spent a total of $80 on 4 books, and 3 of the books cost $15 each. What was the average (arithmetic mean) amount that Mia spent per book for the 4 books?

3, $15, and $80 only

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