College

How many cups of vinegar are needed for 2 teaspoons of lemon oil?

If [tex]$\frac{1}{4}$[/tex] cup of vinegar is used for 2 teaspoons of lemon oil, what is the rate in cups of vinegar per teaspoon of lemon oil?

[tex]\(\square\)[/tex] cups of vinegar per teaspoon of lemon oil.

Answer :

We are given that [tex]$\frac{1}{4}$[/tex] cup of vinegar is used for 2 teaspoons of lemon oil. To determine the number of cups of vinegar used per teaspoon of lemon oil, we divide the vinegar amount by the number of teaspoons:

[tex]$$
\text{Rate} = \frac{\frac{1}{4} \text{ cup}}{2 \text{ tsp}}.
$$[/tex]

Performing the division gives:

[tex]$$
\text{Rate} = \frac{1}{4} \div 2 = \frac{1}{4} \times \frac{1}{2} = \frac{1}{8} \text{ cups per tsp}.
$$[/tex]

Thus, the rate is

[tex]$$
\frac{1}{8} \text{ cups of vinegar per teaspoon of lemon oil} \quad \text{or} \quad 0.125 \text{ cups/tsp}.
$$[/tex]