College

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 :

We are given that the ratio of yoghurt to mayonnaise is
[tex]$$3:5.$$[/tex]

This means that for every 3 parts of yoghurt, there are 5 parts of mayonnaise.

1. First, calculate the total number of parts:
[tex]$$\text{Total parts} = 3 + 5 = 8.$$[/tex]

2. Since Karolina makes 800 ml of salad dressing, the amount of yoghurt used is the fraction of the mixture corresponding to 3 parts out of the total 8 parts:
[tex]$$\text{Amount of yoghurt} = \frac{3}{8} \times 800 \text{ ml}.$$[/tex]

3. Multiply to find the result:
[tex]$$\text{Amount of yoghurt} = 300 \text{ ml}.$$[/tex]

Thus, Karolina uses [tex]$300$[/tex] ml of yoghurt in the salad dressing.