Math Problem Statement

At the end of the year, a library reported 32 books lost or stolen and 24 books were sent out for repair. If the library originally had 1,219 books, how many were left on the shelves or in circulation?

Solution

Let's break down the problem from the image:

  • The library originally had 1,219 books.
  • 32 books were lost or stolen.
  • 24 books were sent out for repair.

We are asked to find how many books were left on the shelves or in circulation. This can be calculated by subtracting the number of lost/stolen and sent-for-repair books from the original total:

Remaining books=1219(32+24)\text{Remaining books} = 1219 - (32 + 24)

Let's calculate this:

Remaining books=121956=1163\text{Remaining books} = 1219 - 56 = 1163

Thus, the correct answer is D. 1,163.

Would you like more details or have any questions?


Here are 5 related questions:

  1. How would the answer change if an additional 10 books were lost?
  2. What if the library sent 30 books for repair instead of 24?
  3. How many total books were either lost, stolen, or sent for repair?
  4. If the library restocked with 50 new books, how many would be available?
  5. How would you model this problem using algebraic expressions?

Tip: Always double-check the units when subtracting or adding quantities to avoid confusion in word problems.

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Subtraction

Formulas

Remaining books = Total books - (Lost/Stolen books + Books sent for repair)

Theorems

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Suitable Grade Level

Grades 5-6