Topic Details (Notes format)

How to Solve Mixture Problems (Concentration)

Subject: Mathematics

Book: Maths Mastery

Mixture problems combine different solutions or substances to achieve a desired concentration or amount. The general approach: amount of solute in mixture 1 plus amount of solute in mixture 2 equals total solute in the final mixture. For instance, if you mix 5 liters of 10% saline with 3 liters of 20% saline, the total salt is 5×0.1 + 3×0.2 = 0.5 + 0.6 = 1.1 liters of salt in 8 liters total, giving a 1.1/8 = 13.75% saline. Mixture problems appear in chemistry labs, cooking recipes, or business scenarios blending inventory. Familiarity with mixture setups fosters accurate solution mixing and real-world problem resolution.

Practice Questions

A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

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If 2x - 3 = 7, what is the value of x?

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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The area of an equilateral triangle with side length 6 cm is:

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If 3x = 81, what is the value of x?

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

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The sum of the squares of two consecutive integers is 145. What are the integers?

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