Answer :
Let's go step-by-step to answer the question:
### Question:
How many cups of vinegar are needed for 2 teaspoons of lemon oil?
Given that ¼ cup of vinegar is used for 2 teaspoons of lemon oil.
### Solution:
1. Understand the Ratio:
We are given that ¼ cup (or 0.25 cups) of vinegar is needed for 2 teaspoons of lemon oil.
2. Find the Rate per Teaspoon:
To find out how many cups of vinegar are needed per teaspoon of lemon oil, we divide the amount of vinegar by the amount of lemon oil.
[tex]\[
\text{Rate of vinegar per teaspoon} = \frac{\text{Vinegar (in cups)}}{\text{Lemon oil (in teaspoons)}}
\][/tex]
Substituting the given values:
[tex]\[
\text{Rate of vinegar per teaspoon} = \frac{0.25 \text{ cups}}{2 \text{ teaspoons}} = 0.125 \text{ cups per teaspoon}
\][/tex]
3. Calculate Total Vinegar Needed:
We are asked how many cups of vinegar are needed for 2 teaspoons of lemon oil. Since the rate is 0.125 cups of vinegar per teaspoon of lemon oil, we can use this rate to find the total amount for 2 teaspoons.
[tex]\[
\text{Total vinegar needed} = \text{Rate of vinegar per teaspoon} \times \text{Number of teaspoons of lemon oil}
\][/tex]
Substituting the values:
[tex]\[
\text{Total vinegar needed} = 0.125 \text{ cups per teaspoon} \times 2 \text{ teaspoons} = 0.25 \text{ cups}
\][/tex]
### Conclusion:
The rate of vinegar per teaspoon of lemon oil is 0.125 cups. Therefore, for 2 teaspoons of lemon oil, you need 0.25 cups of vinegar.
### Question:
How many cups of vinegar are needed for 2 teaspoons of lemon oil?
Given that ¼ cup of vinegar is used for 2 teaspoons of lemon oil.
### Solution:
1. Understand the Ratio:
We are given that ¼ cup (or 0.25 cups) of vinegar is needed for 2 teaspoons of lemon oil.
2. Find the Rate per Teaspoon:
To find out how many cups of vinegar are needed per teaspoon of lemon oil, we divide the amount of vinegar by the amount of lemon oil.
[tex]\[
\text{Rate of vinegar per teaspoon} = \frac{\text{Vinegar (in cups)}}{\text{Lemon oil (in teaspoons)}}
\][/tex]
Substituting the given values:
[tex]\[
\text{Rate of vinegar per teaspoon} = \frac{0.25 \text{ cups}}{2 \text{ teaspoons}} = 0.125 \text{ cups per teaspoon}
\][/tex]
3. Calculate Total Vinegar Needed:
We are asked how many cups of vinegar are needed for 2 teaspoons of lemon oil. Since the rate is 0.125 cups of vinegar per teaspoon of lemon oil, we can use this rate to find the total amount for 2 teaspoons.
[tex]\[
\text{Total vinegar needed} = \text{Rate of vinegar per teaspoon} \times \text{Number of teaspoons of lemon oil}
\][/tex]
Substituting the values:
[tex]\[
\text{Total vinegar needed} = 0.125 \text{ cups per teaspoon} \times 2 \text{ teaspoons} = 0.25 \text{ cups}
\][/tex]
### Conclusion:
The rate of vinegar per teaspoon of lemon oil is 0.125 cups. Therefore, for 2 teaspoons of lemon oil, you need 0.25 cups of vinegar.
