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

Answer:

The solution of Timmy is saltier.

Step-by-step 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:

$r = \frac{n_{salt}}{n_{salt}+n_{water}}$

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 $n_{water} = 4$)

$r_{P} = \frac{3}{3+4}$

$r_{P} = \frac{3}{7}$

$r_{P} = 0.429$

Timmy ($n_{salt} = 6$ and $n_{water} = 7$)

$r_{T} = \frac{6}{6+7}$

$r_{T}= \frac{6}{13}$

$r_{T} = 0.462$

The solution of Timmy is saltier.