Question

A 3% salt solution weighing 100g represents 100g of water in which 3g of salt is dissolved (=3/10). What amount of salt would be combined in 100g of a 14% salt solution? And how many grams of water are in the same solution?

Answer 1

There would be 12 g of salt (12.3 g actually but rounded) and 88g of water (88.7 g actually but rounded)

Explanation:

From the question, a 14% salt solution means 14g of salt in 100g of water.

What this means is that, the fraction of salt to water in the solution would be 14/100 which is same as 7/50

Now, we want to know the amount of salt and the amount of water in a 100g of 14% salt solution.

Looking at the ratio salt to water, we have 7 to 50

For every 50 parts of water, there are 7 parts of salt.

So the ratio of both is 7:50

For salt, the amount in grammes present will be ;

7/(50 + 7) * 100g = 7/57 * 100 = 12.3 g or 12g to the nearest whole number

The amount in grammes of water present will be ;

50/(50 + 7) * 100g = 50/57 * 100 = 87.7g or 88g to the nearest whole number