A mixture contains 30% sugar and 70% water. If 5 liters of the mixture is taken
Practice Questions
Q1
A mixture contains 30% sugar and 70% water. If 5 liters of the mixture is taken out, how much sugar is left in the mixture?
1.5 liters
2 liters
2.5 liters
3 liters
Questions & Step-by-Step Solutions
A mixture contains 30% sugar and 70% water. If 5 liters of the mixture is taken out, how much sugar is left in the mixture?
Step 1: Understand that the mixture is made up of 30% sugar and 70% water.
Step 2: Calculate how much sugar is in 5 liters of the mixture. Since it is 30% sugar, multiply 5 liters by 0.30.
Step 3: Perform the calculation: 5 liters * 0.30 = 1.5 liters of sugar in the 5 liters taken out.
Step 4: Determine the original amount of sugar in the entire mixture. Since the mixture is 5 liters, the total sugar is also 30% of 5 liters, which is 1.5 liters.
Step 5: Since we removed 1.5 liters of sugar from the original 1.5 liters, calculate the remaining sugar: 1.5 liters - 1.5 liters = 0 liters.
Step 6: Conclude that after removing 5 liters of the mixture, there is 0 liters of sugar left in the mixture.
Percentage Calculation – Understanding how to calculate percentages of a mixture and apply them to find the amount of a component.
Volume Subtraction – Knowing how to subtract the volume of the removed mixture from the original volume to find the remaining amount.