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9. MP) Critique Reasoning Andy has read 126 pages of a biography that has 300 pages. He says that he has read \( 60 \% \) of the book. Is this percent reasonable? Why or why not?

Ask by Mccarthy Santiago. in the United States
Feb 26,2025

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Answer

Andy read 42% of the book, not 60%, so his statement is not reasonable.

Solution

To check whether Andy's statement is reasonable, calculate the percentage of the book he actually read. He read 126 pages out of 300 pages, so the percentage is (126 ÷ 300) × 100 = 42%. Since 42% is not equal to 60%, his claim is incorrect.

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To determine if Andy's claim of having read 60% of the biography is reasonable, we can set up a simple calculation. We find out what 60% of the total 300 pages would be, which is calculated as \( 300 \times 0.60 = 180 \) pages. Since Andy has only read 126 pages, he has read significantly less than 180 pages. Therefore, his statement isn't reasonable. A common mistake in these scenarios is miscalculating percentages or focusing only on the number read without considering the total. To avoid such a blunder, it's essential to actually calculate the percentage based on the total and compare it to the claimed percentage, ensuring an accurate understanding of the amount read.

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