Question

Patty prepared a simple salt solution using 3 parts salt and 4 parts water. Timmy made a salt solution using 6 parts salt and 7 parts water, Whose salution is saltier?

Answer 1

The solution of Timmy is saltier.

Explanation:

We have to keep in mind that a solution is saltier if and only if salt has a greater proportion within solution. The following criterion is used to determine which solution is saltier:

`r = (n_(salt))/(n_(salt)+n_(water))`

Where:

`r` - Salt ratio, dimensionless.

`n_(salt)` - Parts of salt, dimensionless.

`n_(water)` - Parts of water, dimensionless.

Now, we find the salt ratios of Patty and Timmy:

Patty (
`n_(salt) = 3` and
`n_(water) = 4`)

`r_(P) = (3)/(3+4)`

`r_(P) = (3)/(7)`

`r_(P) = 0.429`

Timmy (
`n_(salt) = 6` and
`n_(water) = 7`)

`r_(T) = (6)/(6+7)`

`r_(T)= (6)/(13)`

`r_(T) = 0.462`

The solution of Timmy is saltier.