Final answer:
The percentage of sugar in the new solution after adding 1 liter of water to a 3-liter sugar solution originally containing 40% sugar is 30%. The new solution has a total volume of 4 liters, and the concentration is calculated by dividing the amount of sugar by the total volume.
Step-by-step explanation:
Initially, we start with a 3-liter sugar solution that has a 40% sugar concentration. Therefore, the amount of sugar in the solution is 40% of 3 liters, which equals 1.2 liters of sugar. When we add one liter of water, the total volume of the solution becomes 4 liters (3 liters of the original solution and 1 liter of added water).
The next step is to calculate the new concentration percentage. We still have 1.2 liters of sugar, but now it is spread out in 4 liters of total solution. To find the percentage concentration, we use the formula:
Percentage of sugar = (amount of sugar)/(total volume of the solution) x 100%
Percentage of sugar = (1.2 liters)/(4 liters) x 100% = 30%
So, the correct answer to the given question is that the new solution has a 30% sugar concentration. This is not one of the answer choices provided in the question, suggesting there may be an error in the question options or a misunderstanding. The student may need to verify the initial conditions or double-check the answer choices provided.