Which statement represents the equation 9x = 99?
Understand the Problem
The question asks to select the option that represents the given mathematical equation. We will need to use the equation 9x = 99 and determine which answer choice relates to the equation.
Answer
Alonzo finished reading his book in 9 days. Each day, he read $x$ pages. His book has 99 pages.
Answer for screen readers
Alonzo finished reading his book in 9 days. Each day, he read x pages. His book has 99 pages.
Steps to Solve
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Analyze the first option The first option states: "Alonzo finished reading his book in 9 days. Each day, he read $x$ pages. His book has 99 pages." This translates to the equation $9x = 99$, where 9 represents the number of days, $x$ is the number of pages read each day, and 99 is the total number of pages in the book.
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Analyze the second Option The second option states: "Alonzo finished reading his book in $x$ days. Each day, he read 9 pages. His book has 99 pages." This translates to the equation $9x$ = 99, where $x$ represents the number of days, 9 is the number of pages read each day, and 99 is the total number of pages in the book. However, $x$ and 9 are switched in this option, therefore it's not the same as the given equation.
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Analyze the third option The third option states: "A book is $x$ pages long. Alonzo read 9 pages. He has 99 pages remaining." This translates to the equation $x - 9 = 99$. This is not the same as the given equation.
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Analyze the fourth option The fourth option states: "A book has two parts. One part is $x$ pages long. The other part is 9 pages long. The book has 99 pages." This translates to the equation $x + 9 = 99$. This is not the same as the given equation.
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Compare the options to the given equation The first option, $9x = 99$ correctly represents the given equation.
Alonzo finished reading his book in 9 days. Each day, he read x pages. His book has 99 pages.
More Information
The answer is the first option because it accurately translates the worded problem into the equation given in the question $9x = 99$.
Tips
A common mistake when solving this type of problem is misinterpreting key words and information in the word problem, which could lead to formulation of wrong equation. Always pay attention to what each variable relates / represent in the worded problem.
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