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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 if the initial amount of water was 16 liters?

Options:

  1. 1:4
  2. 1:5
  3. 1:6
  4. 1:8

Correct Answer: 1:5

Solution: 

Initial sugar = 1 liter, water = 16 liters. After adding 2 liters of sugar, the new ratio is 3:16, 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 to the mixture, what will be the new ratio of sugar to water if the initial amount of water was 16 liters?
  1. 1:4
  2. 1:5
  3. 1:6
  4. 1:8

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 if the initial amount of water was 16 liters?
  • Step 1: Understand the initial ratio of sugar to water, which is 1:4.
  • Step 2: Identify the initial amount of water, which is given as 16 liters.
  • Step 3: Calculate the initial amount of sugar using the ratio. Since the ratio is 1:4, for every 1 part of sugar, there are 4 parts of water. Therefore, if water is 16 liters, sugar is 16 liters divided by 4, which equals 4 liters.
  • Step 4: Add 2 liters of sugar to the initial amount of sugar. So, the new amount of sugar is 4 liters + 2 liters = 6 liters.
  • Step 5: The amount of water remains the same at 16 liters.
  • Step 6: Now, find the new ratio of sugar to water. The new ratio is 6 liters of sugar to 16 liters of water.
  • Step 7: Simplify the ratio 6:16 by dividing both numbers by 2. This gives us 3:8.
  • Step 8: The final ratio of sugar to water is 3:8.
  • Ratios – Understanding and manipulating ratios to find new relationships between quantities.
  • Proportions – Applying proportions to maintain the relationship between different components in a mixture.
  • Addition of Quantities – Calculating the effect of adding a quantity to one part of a ratio and determining the new ratio.
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