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In a certain mixture, the ratio of sugar to water is 1:4. If 2 liters of sugar i

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Question: In a certain mixture, the ratio of sugar to water is 1:4. If 2 liters of sugar is added to the mixture, what will be the new ratio of sugar to water?

Options:

  1. 1:3
  2. 1:4
  3. 1:5
  4. 1:6

Correct Answer: 1:5

Solution: 

Let the initial amount of sugar be x liters and water be 4x liters. After adding 2 liters of sugar, the new ratio becomes (x + 2) : 4x.

In a certain mixture, the ratio of sugar to water is 1:4. If 2 liters of sugar i

Practice Questions

Q1
In a certain mixture, the ratio of sugar to water is 1:4. If 2 liters of sugar is added to the mixture, what will be the new ratio of sugar to water?
  1. 1:3
  2. 1:4
  3. 1:5
  4. 1:6

Questions & Step-by-Step Solutions

In a certain mixture, the ratio of sugar to water is 1:4. If 2 liters of sugar is added to the mixture, what will be the new ratio of sugar to water?
  • Step 1: Understand the initial ratio of sugar to water, which is 1:4. This means for every 1 part of sugar, there are 4 parts of water.
  • Step 2: Let the initial amount of sugar be represented as 'x' liters. Since the ratio is 1:4, the amount of water will be '4x' liters.
  • Step 3: Now, we add 2 liters of sugar to the mixture. So, the new amount of sugar will be 'x + 2' liters.
  • Step 4: The amount of water remains the same, which is '4x' liters.
  • Step 5: The new ratio of sugar to water can now be expressed as (x + 2) : 4x.
  • Step 6: This is the new ratio of sugar to water after adding 2 liters of sugar.
  • Ratios – Understanding and manipulating ratios to find new relationships after changes in quantities.
  • Algebraic Representation – Using variables to represent quantities and solve for unknowns in a mixture problem.
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