Question

В растворе массой 500 г имеется 40 г соли.Сколько граммов соли в 200 г этого же рствора?

Answer 1

В 500 г   -  40 г соли
в 200 г   -   х г соли
500/ 40  = 200 /х 
х = 40*200/500
х = 16 г соли в 200 г

Answer 2

Calculating the Amount of Salt in a Solution

To calculate the amount of salt in a 200g solution when 40g of salt is present in a 500g solution, we can use the concept of proportionality.

Step 1: Calculate the Proportion of Salt in the 500g Solution First, we need to find the proportion of salt in the 500g solution.

The proportion of salt in the 500g solution can be calculated using the formula: \[ \text{Proportion of salt} = \frac{\text{Mass of salt}}{\text{Total mass of solution}} \]

Using the given values: \[ \text{Proportion of salt} = \frac{40g}{500g} \]

This gives us the proportion of salt in the 500g solution.

Step 2: Use Proportionality to Calculate the Amount of Salt in the 200g Solution Next, we can use the proportion of salt in the 500g solution to calculate the amount of salt in the 200g solution.

We can use the formula: \[ \text{Amount of salt in 200g solution} = \text{Proportion of salt} \times 200g \]

This will give us the amount of salt in the 200g solution.

Calculation

Using the proportion of salt calculated in Step 1, we can now calculate the amount of salt in the 200g solution.

\[ \text{Proportion of salt} = \frac{40g}{500g} = 0.08 \]

\[ \text{Amount of salt in 200g solution} = 0.08 \times 200g = 16g \]

Therefore, there are 16 grams of salt in the 200g of the same solution.

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