Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( n = 24 \)
Solution
To solve for \( n \) in the proportion:
\[
\frac{3}{4} = \frac{18}{n}
\]
follow these steps:
1. **Cross-Multiply**:
Multiply the numerator of one fraction by the denominator of the other fraction.
\[
3n = 4 \times 18
\]
2. **Calculate the Right Side**:
\[
3n = 72
\]
3. **Solve for \( n \)**:
Divide both sides of the equation by 3 to isolate \( n \).
\[
n = \frac{72}{3} = 24
\]
**Final Answer**:
\[
n = 24
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To solve for \( n \) in the equation \( \frac{3}{4}=\frac{18}{n} \), you can cross-multiply. This means you will multiply the numerator of one fraction by the denominator of the other: \( 3n = 4 \times 18 \). Calculating \( 4 \times 18 \) gives you \( 72 \), so the equation becomes \( 3n = 72 \). Now, you simply divide both sides by 3 to find \( n \): \( n = \frac{72}{3} = 24 \). Thus, \( n \) equals 24. To check your work, plug \( n \) back into the equation: \( \frac{3}{4} = \frac{18}{24} \) simplifies to \( \frac{3}{4} \), confirming the solution is correct!
