QuestionStudents who graduate from Trevino University can receive Latin honours if they excelled in their studies.
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If 80 graduates received honours in all, how many more graduates were summa cum laude than magna cum laude?
Studdy Solution
STEP 1
What is this asking?
How many more summa cum laude graduates were there than magna cum laude graduates, if 80 graduates received some kind of Latin honors?
Watch out!
Don't mix up the fractions for each honor.
Make sure you're comparing the right groups!
STEP 2
1. Calculate the number of summa cum laude graduates.
2. Calculate the number of magna cum laude graduates.
3. Find the difference.
STEP 3
We know that of the graduates were summa cum laude.
There were a **total** of 80 graduates who received honors.
To find the **number** of summa cum laude graduates, we **multiply** the **fraction** representing summa cum laude graduates by the **total number** of graduates with honors.
Why multiply?
Because "of" means multiply!
STEP 4
So, let's **calculate**:
There were **32** summa cum laude graduates.
Woohoo!
STEP 5
Now, we do the same thing for the magna cum laude graduates.
We know of the graduates were magna cum laude.
We **multiply** this **fraction** by the **total number** of graduates with honors, which is still **80**.
STEP 6
Let's **calculate**:
There were **16** magna cum laude graduates.
Awesome!
STEP 7
The problem asks how many *more* summa cum laude graduates there were than magna cum laude graduates.
To find the difference, we **subtract** the **number** of magna cum laude graduates from the **number** of summa cum laude graduates.
STEP 8
Let's **calculate**:
There were **16** more summa cum laude graduates than magna cum laude graduates.
Fantastic!
STEP 9
There were 16 more summa cum laude graduates than magna cum laude graduates.
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