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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 8 liters?

Options:

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

Correct Answer: 1:3

Solution: 

Initial sugar = 1 part, water = 4 parts (8 liters). After adding 2 liters of sugar, new sugar = 2 liters, water = 8 liters. Ratio = 2:8 = 1:4.

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 8 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 to the mixture, what will be the new ratio of sugar to water if the initial amount of water was 8 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 8 liters.
  • Step 3: Calculate the initial amount of sugar using the ratio. Since the ratio is 1 part sugar to 4 parts water, and there are 8 liters of water, the amount of sugar is 8 liters / 4 = 2 liters.
  • Step 4: Add 2 liters of sugar to the initial amount of sugar. The new amount of sugar is 2 liters (initial) + 2 liters (added) = 4 liters.
  • Step 5: The amount of water remains the same at 8 liters.
  • Step 6: Now, find the new ratio of sugar to water. The new ratio is 4 liters of sugar to 8 liters of water.
  • Step 7: Simplify the ratio 4:8 by dividing both numbers by 4, which gives us 1:2.
  • 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 while keeping the other part constant.
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