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7th Grade Math
2. 7.RP.A.2
2.1 Applications of ratios
Applications of Ratios: Solving Ratio Word Problems
Learn to translate ratio word problems into proportions, solve for the unknown quantity, and check that your answer makes sense.
What You'll Learn
Translate a word problem into a ratio statement before writing any equation.
Distinguish part-to-part ratios from part-to-whole ratios when setting up a problem.
Use equivalent ratios and scale factors to find missing quantities.
Set up a proportion and cross multiply to solve for an unknown term.
Apply unit rates inside ratio problems that mix quantities like distance, time, or cost.
Check a solution by substituting it back into the original ratio relationship.
What You'll Practice
1
Finding perimeter or side length of squares using given ratios
2
Calculating volume of cubes with unit conversions
3
Solving allowance and money problems with multiple ratio relationships
4
Cross-multiplying to solve for unknown values in proportions
Why This Matters
Ratios appear everywhere in daily lifefrom recipes and maps to budgets and construction. Mastering ratio applications helps you solve practical problems like calculating dimensions, converting measurements, and managing money, while building critical thinking skills you'll use in algebra, geometry, and beyond.
This Unit Includes
9 Video lessons
Learning resources
Skills
Ratios
Proportions
Cross-Multiplication
Unit Conversion
Word Problems
Equivalent Ratios
Problem Solving
OH Curriculum Aligned