Select the correct answer.
Last year, the school library had a total of $x$ books. Over the summer, the library acquired another 46 books and now has a total of 1,191 books. Which equation could be used to find $x$, the number of books the library had last year?
A. $x-46=1,191$
B. $46 x=1,191$
C. $1,191+x=46$
D. $x+46=1,191
Answer (2)
The library initially has x books.
The library acquires 46 books.
The total number of books is now 1,191.
The equation representing this situation is x + 46 = 1 , 191 .
Explanation
Problem Analysis Let's analyze the problem. We are given that the library had x books last year. Over the summer, the library acquired 46 more books. Now, the library has a total of 1,191 books. We need to find the equation that represents this situation.
Setting up the Equation The total number of books the library has now is the sum of the number of books it had last year and the number of books it acquired over the summer. So, we can write the equation as: x + 46 = 1191
Finding the Correct Equation Therefore, the correct equation is x + 46 = 1 , 191 .
Final Answer The correct answer is x + 46 = 1 , 191 .
Examples
Imagine you are collecting stickers. You start with a certain number of stickers in your album. Then, you get some more stickers. The total number of stickers you have now is the sum of the stickers you started with and the stickers you got later. This is similar to how the library's books increased over the summer. Understanding how to set up these equations helps in many real-life situations where quantities are added together to find a total.
The correct equation to find the number of books the library had last year is x + 46 = 1 , 191 . This indicates that the total number of books is the sum of what the library had last year and the books acquired. Therefore, the answer is option D.
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