Page 5: Advanced Applications

This page covers more complex applications of proportionality including paper weight calculations and pool drainage problems.

Example: Paper weight calculation: 500 sheets = 1.8 kg → 850 sheets = 3.06 kg

Highlight: The page demonstrates how to solve real-world problems involving time, weight, and volume relationships.

Page 6: Compound Proportionality

This page introduces compound proportionality with practical applications in construction and farming.

Example: Construction problem: Workers completing 600 m² of wall in 18 days working 10 hours per day

Highlight: The page shows how to handle problems involving multiple proportional relationships simultaneously.

Page 1: Introduction to Ratios and Proportions

This page introduces fundamental concepts of mathematical ratios and proportions. The content focuses on basic definitions and initial examples using recipe proportions.

Definition: A ratio is the quotient (in reduced form) between two numbers a and b.

Example: Recipe proportions showing the relationship between ingredients:

• 6 eggs to 3 cups of flour
• 12 eggs to 6 cups of flour

Highlight: The page emphasizes the importance of understanding ratios as simplified fractions and their practical applications.