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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, what will be the new ratio if the total volume of the mixture is 20 liters?

Options:

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

Correct Answer: 1:5

Solution: 

Initially, there is 1 part sugar and 4 parts water, totaling 5 parts. In 20 liters, there are 4 liters of sugar and 16 liters of water. After adding 2 liters of sugar, the new ratio is 6:16, which simplifies to 1:5.

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, what will be the new ratio if the total volume of the mixture is 20 liters?
  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, what will be the new ratio if the total volume of the mixture is 20 liters?
  • Step 1: Understand the initial ratio of sugar to water, which is 1:4.
  • Step 2: Calculate the total parts in the mixture. 1 part sugar + 4 parts water = 5 parts.
  • Step 3: Determine how much sugar and water is in the 20 liters based on the ratio.
  • Step 4: Calculate the amount of sugar: (1 part / 5 parts) * 20 liters = 4 liters of sugar.
  • Step 5: Calculate the amount of water: (4 parts / 5 parts) * 20 liters = 16 liters of water.
  • Step 6: Add 2 liters of sugar to the existing 4 liters of sugar. Now, there are 4 + 2 = 6 liters of sugar.
  • Step 7: The amount of water remains the same at 16 liters.
  • Step 8: Write the new ratio of sugar to water: 6 liters of sugar to 16 liters of water.
  • Step 9: Simplify the ratio 6:16 by dividing both numbers by 2, which gives 3:8.
  • Step 10: The final simplified ratio of sugar to water is 3:8.
  • Ratios – Understanding and manipulating ratios to find new proportions after changes in quantities.
  • Volume Calculation – Calculating the total volume of a mixture based on given ratios and additional quantities.
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