Chapter 1
Algebra
Course: Sat Prep
Subject: Math
Chapter: Problem Solving And Data Analysis
Ratios, rates, and percentages are essential mathematical tools used to compare quantities and describe relationships between numbers. They help solve everyday problems involving prices, distances, measurements, speed, discounts, and data analysis.
In this lesson, you will learn how to:
- Compare quantities using ratios.
- Calculate and interpret rates and unit rates.
- Identify and solve proportional relationships.
- Perform unit conversions between different measurement systems.
- Calculate percent increase and percent decrease.
- Apply these concepts to solve a variety of real-world quantitative problems.
Ratios
A ratio is a comparison between two or more quantities. Unlike subtraction, which measures the difference between values, a ratio describes how quantities relate to one another. Ratios answer questions such as "How many?" or "How much?" in comparison with another quantity.
Suppose a basket contains 8 apples and 12 oranges. The comparison between apples and oranges is represented by the ratio