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?
1:3
1:4
1:5
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.
