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A mixture of two chemicals A and B is in the ratio 1:2. If 30 liters of chemical

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Question: A mixture of two chemicals A and B is in the ratio 1:2. If 30 liters of chemical B is added, what will be the new ratio if the original mixture was 15 liters?

Options:

  1. 1:3
  2. 1:2
  3. 1:4
  4. 1:5

Correct Answer: 1:3

Solution: 

Original mixture = 15 liters (A = 5, B = 10). After adding 30 liters of B, new B = 40. New ratio = 5:40 = 1:8.

A mixture of two chemicals A and B is in the ratio 1:2. If 30 liters of chemical

Practice Questions

Q1
A mixture of two chemicals A and B is in the ratio 1:2. If 30 liters of chemical B is added, what will be the new ratio if the original mixture was 15 liters?
  1. 1:3
  2. 1:2
  3. 1:4
  4. 1:5

Questions & Step-by-Step Solutions

A mixture of two chemicals A and B is in the ratio 1:2. If 30 liters of chemical B is added, what will be the new ratio if the original mixture was 15 liters?
  • Step 1: Understand the original ratio of chemicals A and B, which is 1:2.
  • Step 2: Calculate the total parts in the ratio. 1 part A + 2 parts B = 3 parts total.
  • Step 3: Find out how much of each chemical is in the original mixture of 15 liters. Since the total is 3 parts, each part is 15 liters / 3 = 5 liters.
  • Step 4: Calculate the amount of chemical A. A = 1 part = 5 liters.
  • Step 5: Calculate the amount of chemical B. B = 2 parts = 2 * 5 liters = 10 liters.
  • Step 6: Add 30 liters of chemical B to the original amount of B. New amount of B = 10 liters + 30 liters = 40 liters.
  • Step 7: The amount of A remains the same at 5 liters.
  • Step 8: Write the new ratio of A to B. New ratio = A:B = 5:40.
  • Step 9: Simplify the ratio 5:40 by dividing both numbers by 5. This gives us 1:8.
  • Ratio and Proportion – Understanding how to calculate and manipulate ratios when quantities change.
  • Mixture Problems – Applying knowledge of mixtures to determine new ratios after adding or removing components.
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