A mixture contains 20% sugar. If 5 kg of sugar is added to the mixture, what wil
Practice Questions
Q1
A mixture contains 20% sugar. If 5 kg of sugar is added to the mixture, what will be the new percentage of sugar if the total weight of the mixture becomes 30 kg?
25%
20%
30%
15%
Questions & Step-by-Step Solutions
A mixture contains 20% sugar. If 5 kg of sugar is added to the mixture, what will be the new percentage of sugar if the total weight of the mixture becomes 30 kg?
Step 1: Understand that the initial mixture has 20% sugar.
Step 2: Calculate the initial weight of the mixture before adding sugar. Since the final weight is 30 kg and we add 5 kg of sugar, the initial weight of the mixture is 30 kg - 5 kg = 25 kg.
Step 3: Calculate the amount of sugar in the initial mixture. Since it is 20% sugar, the amount of sugar is 20% of 25 kg, which is 0.2 * 25 kg = 5 kg.
Step 4: Add the 5 kg of sugar to the initial amount of sugar. So, the new amount of sugar is 5 kg (initial) + 5 kg (added) = 10 kg.
Step 5: Calculate the new percentage of sugar in the total mixture. The total weight of the mixture is now 30 kg, so the new percentage of sugar is (10 kg / 30 kg) * 100 = 33.33%.
Step 6: Round the percentage to the nearest whole number, which is 33%.
Percentage Calculation – Understanding how to calculate the percentage of a component in a mixture based on its weight.
Mixture Problems – Applying knowledge of mixtures to determine new concentrations after adding or removing components.
