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

If x^2 + 4x + 4 = 0, what is the value of x?

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If x = 2 and y = 3, what is the value of (x^2 + y^2)?

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The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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The LCM of 12 and 15 is:

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What is the value of x if log(x) + log(4) = log(32)?

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If 2x = 16, what is the value of x?

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A man spends 75% of his income and saves Rs. 600. What is his total income?

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The simple interest on Rs. 4000 at 5% per annum for 2 years is:

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If the radius of a circle is 7 cm, what is its circumference?

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What is the sum of the first 20 odd numbers?

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