Question

у хозяйки есть 5 литров сахарного сиропа 50% концентрации.Сколько литров воды необходимо добавить для получения 40% сиропа?

Answer 1

3 литра воды надо взять

Answer 2

Calculating Water Addition for Sugar Syrup Concentration

To calculate the amount of water needed to achieve a 40% concentration of sugar syrup from a 50% concentration, we can use the following formula:

Initial Concentration × Initial Volume = Final Concentration × Final Volume

Let's denote: - Initial Concentration = 50% - Initial Volume = 5 liters - Final Concentration = 40% - Final Volume = Unknown (let's denote it as x)

Using the formula, we can solve for x:

50% × 5 liters = 40% × (5 liters + x)

Solving for x gives us the amount of water needed to achieve the desired concentration.

Calculation

Using the formula above, we can calculate the amount of water needed:

50% × 5 liters = 40% × (5 liters + x)

2.5 liters = 2 liters + 0.4x

0.5 liters = 0.4x

x = 1.25 liters

So, 1.25 liters of water need to be added to 5 liters of 50% sugar syrup to achieve a 40% concentration.