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Answer :
The amount of yoghurt used in 800 ml salad dressing is 300 ml.
Let the amount of yoghurt and mayonnaise used be 3x and 5x. So, forming the equation based on total amount.
3x + 5x = 800
Performing addition on Left Hand Side of the equation
8x = 800
x = 800 ÷ 8
Performing division on Right Jand Side of the equation
x = 100
So, the amount of yoghurt required = 3x
The amount of yoghurt = 3 × 100
Performing multiplication
The amount for yoghurt = 300 ml
Hence, the amount of yoghurt is 300 ml.
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Karolina uses 300 ml of yogurt to make 800 ml of the salad dressing.
To solve this problem, we need to determine the amount of yogurt used in making 800 ml of the salad dressing, given that the ratio of yogurt to mayonnaise is 3:5.
Understand the ratio.
The ratio of yogurt to mayonnaise is given as 3:5. This means for every 3 parts of yogurt, there are 5 parts of mayonnaise.
Calculate the total parts in the mixture.
To find the total parts in the mixture, we add the parts of yogurt and mayonnaise together:
3 parts (yogurt) + 5 parts (mayonnaise) = 8 parts (total mixture).
Determine the proportion of yogurt in the mixture.
The proportion of yogurt in the mixture is the number of parts of yogurt divided by the total number of parts:
Proportion of yogurt = 3 parts / 8 parts = 3/8.
Calculate the volume of yogurt used.
We know that Karolina makes 800 ml of the salad dressing in total. To find out how much of that is yogurt, we multiply the total volume by the proportion of yogurt:
Volume of yogurt = Total volume of dressing × Proportion of yogurt
Volume of yogurt = 800 ml - (3/8).
Perform the calculation.
Volume of yogurt = 800 ml - (3/8) = 300 ml.
The final answer is [tex]\boxed{300 \text{ ml}}[/tex].
