Question
8. In the sixth grade, each student will get 4 new books. There is one class of 15 students and one class of 20 students. The expression \( 4 \times(15+20) \) gives the total number of new books. Write a word expression for the numerical expression.
Ask by Griffin Goodwin. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
"Four times the total number of students in the two classes."
Solution
To write a word expression for the numerical expression \( 4 \times (15 + 20) \), we can break it down step by step:
1. **Identify the components of the expression**:
- The number \( 4 \) represents the number of new books each student will receive.
- The numbers \( 15 \) and \( 20 \) represent the number of students in the two classes.
2. **Combine these components into a word expression**:
- First, we need to express the total number of students in both classes, which is \( 15 + 20 \).
- Then, we multiply the total number of students by the number of books each student receives.
3. **Construct the word expression**:
- "Four times the sum of the number of students in the first class and the number of students in the second class."
Putting it all together, the word expression for the numerical expression \( 4 \times (15 + 20) \) is:
**"Four times the total number of students in the two classes."**
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Simplify this solution The Deep Dive
To determine the total number of new books, we start by recognizing that each student receives 4 new books. In total, there are two classes, one with 15 students and another with 20 students. So, we add the total number of students in both classes and then multiply that sum by the number of books each student will receive. Here’s the word expression: "Four times the sum of the number of students in the first class and the number of students in the second class."
