Question

students who graduate from yamamoto university can receive latin honors if they excelled in their studies. honors magna cum laude 25% summa cum laude 20% cum laude 55% if 80 graduates received honors in all, how many more graduates were cum laude than summa cum laude?

Explanation:

Step1: Find number of cum laude graduates

Total graduates = 80, percentage of cum laude = 55%. So, number of cum laude = \( 80 \times 0.55 = 44 \)

Step2: Find number of summa cum laude graduates

Percentage of summa cum laude = 20%. So, number of summa cum laude = \( 80 \times 0.20 = 16 \)

Step3: Find the difference

Subtract summa cum laude count from cum laude count: \( 44 - 16 = 28 \)

Answer:

28