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A salad dressing is made by mixing lemon juice and vinegar in the ratio [tex]4:3[/tex].

Vicky makes 700 ml of the salad dressing. How much lemon juice does she use?

Answer :

To find out how much lemon juice Vicky uses, we need to work with the given ratio of lemon juice to vinegar, which is [tex]\(4:3\)[/tex]. This means that for every 4 parts of lemon juice, there are 3 parts of vinegar.

Let's break down the solution step by step:

1. Understand the total number of parts in the ratio:
- The total parts in the ratio are [tex]\(4\)[/tex] parts of lemon juice + [tex]\(3\)[/tex] parts of vinegar = [tex]\(7\)[/tex] parts total.

2. Calculate the proportion of the salad dressing that is lemon juice:
- Since the lemon juice is [tex]\(4\)[/tex] parts out of the [tex]\(7\)[/tex] total parts, the proportion of lemon juice is [tex]\(\frac{4}{7}\)[/tex] of the mixture.

3. Determine the amount of lemon juice:
- Vicky makes 700 ml of the salad dressing. To find out how much of this is lemon juice, multiply the total amount by the proportion of lemon juice:
[tex]\[
\text{Amount of lemon juice} = 700 \text{ ml} \times \frac{4}{7}
\][/tex]
[tex]\[
\text{Amount of lemon juice} = 400 \text{ ml}
\][/tex]

Therefore, Vicky uses 400 ml of lemon juice in her salad dressing.

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