Question
\( 3.30 \% \) of 7 th graders are in band. There are 120 students in band. How many students are in the 7 th grade?
Ask by Thornton Hart. in the United States
Jan 30,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
There are approximately 3,636 seventh-grade students.
Solution
To determine the total number of 7th-grade students, let's break down the problem step-by-step.
**Given:**
- \( 3.30\% \) of 7th graders are in the band.
- There are 120 students in the band.
**Let \( N \) be the total number of 7th-grade students.**
The relationship can be expressed as:
\[
3.30\% \times N = 120
\]
Convert the percentage to a decimal:
\[
0.0330 \times N = 120
\]
Solving for \( N \):
\[
N = \frac{120}{0.0330} = \frac{120}{0.033} \approx 3,636.36
\]
Since the number of students must be a whole number, we round to the nearest whole number:
\[
N \approx 3,636 \text{ students}
\]
**Answer:**
There are approximately 3 636 seventh-grade students.
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Simplify this solution Beyond the Answer
To find the total number of 7th graders, you can set up the equation based on the percentage given. If \( 3.30\% \) of the 7th graders is equal to 120 students in band, you can express it mathematically as: \( \frac{3.30}{100} \times \text{Total students in 7th grade} = 120 \) Now, rearranging the equation: Total students in 7th grade = \( \frac{120 \times 100}{3.30} \) Calculating that gives you approximately 363.64, which you can round to 364. So, there are about **364 students in the 7th grade**.
