Answer :
To solve the problem of finding how many tablespoons of lime juice and soy sauce are used in the salad dressing, we need to use the given ratio and total amount of ingredients.
1. Understand the Ratio:
- We are given a ratio of lime juice to soy sauce which is 3:4. This means for every 3 parts of lime juice, there are 4 parts of soy sauce.
2. Calculate the Total Parts in the Ratio:
- The total number of parts in the ratio is the sum of the parts of lime juice and soy sauce. That is [tex]\(3 + 4 = 7\)[/tex] parts.
3. Determine Total Tablespoons:
- The problem states that the sum of the lime juice and soy sauce is 21 tablespoons.
4. Find the Amount of Each Ingredient:
- To find how many tablespoons each part represents, divide the total tablespoons by the total number of parts in the ratio: [tex]\(21 \div 7 = 3\)[/tex]. This means each part corresponds to 3 tablespoons.
5. Calculate the Tablespoons of Lime Juice:
- Since the ratio of lime juice is 3 parts, we multiply the number of tablespoons per part by 3:
[tex]\[
\text{Lime Juice} = 3 \times 3 = 9 \text{ tablespoons}
\][/tex]
6. Calculate the Tablespoons of Soy Sauce:
- Similarly, since the soy sauce comprises 4 parts, multiply the number of tablespoons per part by 4:
[tex]\[
\text{Soy Sauce} = 4 \times 3 = 12 \text{ tablespoons}
\][/tex]
In conclusion, there are 9 tablespoons of lime juice and 12 tablespoons of soy sauce used in the salad dressing.
1. Understand the Ratio:
- We are given a ratio of lime juice to soy sauce which is 3:4. This means for every 3 parts of lime juice, there are 4 parts of soy sauce.
2. Calculate the Total Parts in the Ratio:
- The total number of parts in the ratio is the sum of the parts of lime juice and soy sauce. That is [tex]\(3 + 4 = 7\)[/tex] parts.
3. Determine Total Tablespoons:
- The problem states that the sum of the lime juice and soy sauce is 21 tablespoons.
4. Find the Amount of Each Ingredient:
- To find how many tablespoons each part represents, divide the total tablespoons by the total number of parts in the ratio: [tex]\(21 \div 7 = 3\)[/tex]. This means each part corresponds to 3 tablespoons.
5. Calculate the Tablespoons of Lime Juice:
- Since the ratio of lime juice is 3 parts, we multiply the number of tablespoons per part by 3:
[tex]\[
\text{Lime Juice} = 3 \times 3 = 9 \text{ tablespoons}
\][/tex]
6. Calculate the Tablespoons of Soy Sauce:
- Similarly, since the soy sauce comprises 4 parts, multiply the number of tablespoons per part by 4:
[tex]\[
\text{Soy Sauce} = 4 \times 3 = 12 \text{ tablespoons}
\][/tex]
In conclusion, there are 9 tablespoons of lime juice and 12 tablespoons of soy sauce used in the salad dressing.
