Final answer:
Kate will need 2/3 cup of sugar for 1 serving of custard.
Step-by-step explanation:
To find out how much sugar Kate will need for 1 serving of custard, we can set up a proportion using the given information. Since she needs 1/2 cup of sugar for 3/4 of a serving, we can write the proportion as:
1/2 cup / 3/4 serving = x cups / 1 serving
To solve for x, we can cross-multiply:
1/2 * 1 serving = 3/4 * x cups
1/2 = 3/4 * x
Next, we can divide both sides by 3/4 to isolate x:
x = (1/2) / (3/4) = 2/3
Therefore, Kate will need 2/3 cup of sugar for 1 serving of custard.