9 y is to 20 as 9 is to 5 as a proportion

You are working with the proportion:

\[
\frac{9y}{20} = \frac{9}{5}
\]

To solve for \(y\), we can use **cross-multiplication**.

### Step-by-Step Solution:
1. Cross-multiply:
   \[ 
   9y \cdot 5 = 9 \cdot 20 
   \]
   \[
   45y = 180 
   \]

2. Solve for \(y\):
   \[
   y = \frac{180}{45} = 4
   \]

### Final Answer:
\[
y = 4
\]

Would you like a detailed explanation of cross-multiplication, or do you have other related questions?

---

**5 Related Questions:**
1. What is cross-multiplication, and why does it work?
2. How do you set up proportions from real-world problems?
3. Can proportions be used to solve geometry problems like similar triangles?
4. How do you determine if two ratios are proportional?
5. What happens if a proportion contains variables in both terms?

**Tip:** Always simplify ratios before setting up a proportion to avoid unnecessary large numbers.

Learn how to solve the proportion 9y is to 20 as 9 is to 5 using cross-multiplication. This step-by-step solution explores key concepts such as ratios, proportions, and the proportionality theorem. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation