Question

Kayla mixes 1/6 pound of salt with 1/8 bucket of water to make a saline solution. How much salt does she need to use for a full bucket of water? show your work.

Answer 1

4/3 pounds of salt

Step-by-step explanation

We are given that Kayla mixes 1/6 pound of salt with 1/8 bucket of water to make a saline solution.

We want to find out how much salt she will need to mix with a bucket of water.

To do this, we will compare and cross multiply,

That is, let the amount of salt needed be x:

`\begin{gathered} (1)/(6)\text{ pound of salt = }(1)/(8)\text{ bucket of water} \\ \Rightarrow\text{x pound of salt = }1\text{ bucket of water} \\ \text{Cross-multiply:} \\ 1\cdot\text{ }(1)/(6)\text{ = x }\cdot\text{ }(1)/(8) \\ \Rightarrow\text{ x = }\frac{8\cdot\text{ 1}}{6}\text{ = }(8)/(6) \\ \Rightarrow\text{ x = }(4)/(3)\text{ pounds of salt or 1}(1)/(3)\text{ pounds of salt} \end{gathered}`

Kayla will need 4/3 pounds of salt or 1 1/3 pounds of salt