Question

a cleaning spray contains \\(\frac{1}{2}\\) cup of vinegar for every 4 teaspoons of lemon oil. one way to find an equivalent ratio is to divide both numbers in a ratio by the same number. how many cups of vinegar are needed for 2 teaspoons of lemon oil? \\(\frac{1}{4}\\) c of vinegar is needed for 2 tsp of lemon oil. what is the rate in cups of vinegar per teaspoon of lemon oil? \\(\square\\) c of vinegar per tsp of lemon oil

Explanation:

Step1: Identify given ratio

The given ratio is $\frac{1}{2}$ cups vinegar : 4 tsp lemon oil.

Step2: Calculate rate per tsp

Divide vinegar amount by lemon oil amount.
$\text{Rate} = \frac{\frac{1}{2}}{4} = \frac{1}{2} \times \frac{1}{4} = \frac{1}{8}$

Answer:

$\frac{1}{8}$ c of vinegar per tsp of lemon oil