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 sphere has a radius of 7 cm. What is its volume?

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If the sum of the angles of a polygon is 1080°, how many sides does the polygon have?

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

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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How many diagonals does a pentagon have?

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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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If the sum of three consecutive integers is 96, what are the integers?

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A cube has a side length of 4 cm. What is its volume?

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What is the sum of the first 20 odd numbers?

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

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