# The initial amount of the solution contains 10% salt. After adding a certain amount of water

The initial amount of the solution contains 10% salt. After adding a certain amount of water, the resulting solution with a total weight of 5000 grams began to contain 1% salt. Find the mass of the stock solution.

1. Find the weight of the salt in the resulting solution.

Let X grams be the required value.

5000 grams – 100%.

X gram – 1%.

We got the proportion.

We make an equation and solve it.

X / 5000 = 1/100.

X = 5000/100.

X = 50 grams.

2. According to the condition of the problem, only water was added to the initial solution.

This means that the weight of the salt in the original solution is also 50 grams.

Let Y gram be the mass of the initial solution.

Y gram – 100%

50 grams – 10%.

We got the proportion again.

Y / 50 = 100/10.

Y = 10 * 50.

Y = 500 grams.

Answer: The mass of the initial solution is 500 grams.

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