A recipe uses 5 cups of flour for every 2 cups of sugar. a....

A recipe uses 5 cups of flour for every 2 cups of sugar.
a. How much sugar is used for 1 cup of flour?
b. How much flour is used for 1 cup of sugar?
c. How much flour is used with 7 cups of sugar?
d. How much sugar is used with 6 cups of flour?

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Key Concepts

Unit Rate

A unit rate is the amount of one quantity per one unit of another, such as the amount of sugar used per cup of flour. Understanding unit rates helps to determine single-unit measures which can then be used to compute other quantities in similar proportional scenarios.

Cross Multiplication

Cross multiplication is a method used to solve equations where two ratios are set equal to each other. It involves multiplying terms across the equality, which simplifies solving for an unknown variable within proportional relationships.

Ratio

A ratio is a comparison between two quantities showing the relative sizes of two values. In problems like this, ratios express the relationship between ingredients or parts, allowing you to understand how one part relates to another and how to scale amounts up or down.

Proportional Relationships

Proportional relationships occur when two quantities maintain a constant rate, meaning if one quantity increases, the other increases at a consistent multiplier. Recognizing proportionality is essential in solving problems involving scaling or adjusting values while preserving the original ratio.