Mixture || मिश्रण | Alligation | TYPE 5

Mixture || मिश्रण | Alligation | TYPE 5
Your Query:

The mixture math topic typically involves problems where two or more substances (like liquids, solids, or even prices) are combined to form a mixture, and you are asked to find the final composition, cost, or concentration. These problems often involve concepts like weighted averages, ratios, and percentages. Here are some common types of mixture problems:

1. **Concentration Mixtures**: You mix two solutions with different concentrations, and you need to find the final concentration.
Example: You mix 10 liters of a 20% salt solution with 15 liters of a 30% salt solution. What is the concentration of the resulting mixture?

2. **Cost Mixtures**: You mix two or more products with different prices and find the average price.
Example: You mix 5 pounds of tea costing $2 per pound with 3 pounds of tea costing $3 per pound. What is the price per pound of the mixture?

3. **Alligation**: A method used to solve problems involving the mixing of solutions of different concentrations. It’s a shortcut for finding the ratio in which two or more substances should be mixed to get a desired concentration.
Example: You want a mixture that is 25% alcohol, and you have solutions of 10% alcohol and 40% alcohol. What ratio should you mix them in? Alligation is a method used in mathematics to solve problems involving mixing different quantities or solutions. It’s particularly useful in problems where you mix two or more ingredients of different strengths or concentrations, like in medicine, chemistry, or even economics.

There are two types of alligation:

1. **Alligation Medial**: This involves calculating the average or mean value of a mixture. For example, mixing two solutions with different concentrations to find the average concentration of the resulting mixture.

2. **Alligation Alternate**: This helps find the quantities of each ingredient that should be mixed together to achieve a desired concentration or average value.

### Basic Concept:
For **Alligation Alternate**, you have:
- The **amount of each ingredient** you want to mix.
- The **concentration** or **strength** of each ingredient.
- The **desired average** concentration of the mixture.

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