High School

A salad dressing is made by mixing yogurt and mayonnaise in the ratio \( \frac{3}{5} \). Karolina makes 800 mL of salad dressing. How much yogurt does she use? Give your answer in milliliters.

Answer :

To find out how much yogurt Karolina uses to make 800 ml of salad dressing with a yogurt-to-mayonnaise ratio of 3/5, you can set up a proportion based on the given ratio.

Ratio of yogurt to mayonnaise = 3/5

Let Y represent the amount of yogurt in milliliters Karolina uses. Then, the amount of mayonnaise she uses would be (5/3)Y, since it's in a 3/5 ratio.

Now, set up a proportion:

Yogurt / Mayonnaise = 3 / 5

Y / ((5/3)Y) = 3 / 5

Now, solve for Y:

Y / ((5/3)Y) = 3 / 5

To get rid of the fractions, you can multiply both sides of the equation by (5/3):

(5/3)Y / ((5/3)Y) = (3 / 5) * (5/3)

This simplifies to:

1 = 1

So, the equation is true for any value of Y. This means Karolina can use any amount of yogurt Y as long as the ratio of yogurt to mayonnaise remains 3/5.

Therefore, to make 800 ml of salad dressing, she would use 800 ml of yogurt.

Step-by-step explanation:

Yogurt is 3 out of (3+5= 8)

3/ 8 ths is yogurt

3/8 * 800 = 300 ml of yogurt