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
