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A solution is made by mixing two types of tea in the ratio 2:3. If the total wei

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Question: A solution is made by mixing two types of tea in the ratio 2:3. If the total weight of the mixture is 50 kg, how much of the first type of tea is there?

Options:

  1. 20 kg
  2. 30 kg
  3. 25 kg
  4. 15 kg

Correct Answer: 20 kg

Solution: 

In a 2:3 ratio, total parts = 2 + 3 = 5. First type = (2/5) * 50 = 20 kg.

A solution is made by mixing two types of tea in the ratio 2:3. If the total wei

Practice Questions

Q1
A solution is made by mixing two types of tea in the ratio 2:3. If the total weight of the mixture is 50 kg, how much of the first type of tea is there?
  1. 20 kg
  2. 30 kg
  3. 25 kg
  4. 15 kg

Questions & Step-by-Step Solutions

A solution is made by mixing two types of tea in the ratio 2:3. If the total weight of the mixture is 50 kg, how much of the first type of tea is there?
  • Step 1: Understand the ratio of the two types of tea, which is 2:3.
  • Step 2: Add the parts of the ratio together: 2 + 3 = 5 parts in total.
  • Step 3: Determine how much one part is worth by dividing the total weight of the mixture (50 kg) by the total parts (5): 50 kg / 5 = 10 kg per part.
  • Step 4: Find the weight of the first type of tea by multiplying the number of parts for the first type (2) by the weight of one part (10 kg): 2 * 10 kg = 20 kg.
  • Step 5: Conclude that there are 20 kg of the first type of tea in the mixture.
  • Ratio and Proportion – Understanding how to divide a total quantity based on a given ratio.
  • Basic Arithmetic – Performing calculations involving addition, multiplication, and division.
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