Applied Word Problem Set

Ratio Word Problems Practice

Real-world scenarios spanning cooking recipes, geometric perimeters, travel distances, and mixtures.

Problem 1 Word Problem

A chef is baking cookies using a recipe with flour and sugar in the ratio 5 : 2. If the chef uses 750 grams of flour, how many grams of sugar are required?

Problem 2 Word Problem

In a school library, the ratio of fiction books to non-fiction books is 7 : 5. If there are 840 books in total, how many fiction books are in the library?

Problem 3 Word Problem

A painter needs 24 liters of green paint made by mixing yellow and blue in the ratio 3 : 1. How many liters of yellow paint must be purchased?

Problem 4 Word Problem

On a hiking map with a scale of 1 : 25,000, the distance between two mountain peaks is 8 cm. What is the actual ground distance in kilometers?

Problem 5 Word Problem

The ratio of the length to width of a rectangular garden is 4 : 3. If the perimeter of the garden is 70 meters, what is the area of the garden?

Problem 6 Word Problem

Two numbers have a ratio of 3 : 5. If their sum is 96, what is the positive difference between the two numbers?

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