Question

Имеется 1,5 кг 40% раствора сахарного сиропа. Найди сколько воды нужно добавить в сироп, чтобы получить 10% раствор сахарного сиропа.​

Answer 1

Ответ:

4.5кг

Объяснение:

Answer 2

Calculating Water Needed to Dilute Sugar Syrup

To find out how much water needs to be added to 1.5 kg of 40% sugar syrup to obtain a 10% sugar syrup, we can use the following approach:

1. Calculate the amount of sugar in the original solution: - The original solution contains 40% sugar. - This means 1.5 kg of the solution contains 40% of sugar.

2. Calculate the amount of sugar in the desired solution: - The desired solution should contain 10% sugar.

3. Calculate the amount of water needed: - The difference between the total weight of the original solution and the amount of sugar in the original solution will give us the amount of water needed to obtain the desired 10% sugar solution.

Solution

1. Calculate the amount of sugar in the original solution: - 40% of 1.5 kg = 0.4 * 1.5 kg = 0.6 kg of sugar in the original solution.

2. Calculate the amount of sugar in the desired solution: - For a 10% sugar solution, 10% of the total weight of the solution should be sugar.

3. Calculate the amount of water needed: - The difference between the total weight of the original solution and the amount of sugar in the original solution will give us the amount of water needed to obtain the desired 10% sugar solution.

Let's calculate the amount of sugar in the desired solution: - 10% of the total weight of the solution should be sugar. - 10% of (1.5 kg + x) = 0.1 * (1.5 kg + x) = 0.15 kg + 0.1x kg, where x is the amount of water to be added.

Now, we can find the amount of water needed by subtracting the amount of sugar in the original solution from the amount of sugar in the desired solution: - 0.15 kg + 0.1x kg - 0.6 kg = 0.15 kg - 0.6 kg + 0.1x kg - 0.1x kg = -0.45 kg - x = -0.45 kg / 0.1 - x = -4.5 kg

The negative result indicates that the original solution already contains more water than necessary to obtain a 10% sugar solution. Therefore, no additional water needs to be added to obtain a 10% sugar solution from the original 40% sugar solution.

This calculation suggests that the original solution already contains more water than necessary to obtain a 10% sugar solution. Therefore, no additional water needs to be added to obtain a 10% sugar solution from the original 40% sugar solution.

(#1)