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?
Practice Questions
1 question
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?
1:3
1:4
1:5
1:6
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.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
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.
Steps: 6
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.
