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A salad dressing is made by mixing yogurt and mayonnaise in the ratio [tex]3:5[/tex].

Karolina makes 800 ml of the salad dressing. How much yogurt does she use?

Answer :

To solve the problem of finding how much yoghurt Karolina uses in her salad dressing, let's break it down step-by-step:

1. Understand the Ratio: The salad dressing is made by mixing yoghurt and mayonnaise in the ratio of [tex]\(3:5\)[/tex]. This means for every 3 parts of yoghurt, there are 5 parts of mayonnaise.

2. Total Parts in the Ratio: The total number of parts when you combine both yoghurt and mayonnaise is [tex]\(3 + 5 = 8\)[/tex] parts.

3. Total Amount of Dressing: Karolina is making a total of 800 ml of salad dressing.

4. Determine the Amount of Yoghurt: Since the ratio of yoghurt is 3 parts out of the total 8 parts, we need to find out what portion of the 800 ml is yoghurt.

- First, calculate the fraction of yoghurt in the dressing: [tex]\(\frac{3}{8}\)[/tex].

- Next, multiply this fraction by the total amount of salad dressing to find the amount of yoghurt: [tex]\((\frac{3}{8}) \times 800\)[/tex].

5. Calculate the Amount: Performing the multiplication gives us the amount of yoghurt:
[tex]\[
\frac{3}{8} \times 800 = 300 \text{ ml}
\][/tex]

Therefore, Karolina uses 300 ml of yoghurt for her salad dressing.

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