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Number Sense: Drill Set 4, Problem 1. Simplify the expression.
Number Sense: Drill Set 4, Problem 2. Simplify the expression.
Number Sense: Drill Set 4, Problem 3. Simplify the expression.
CAHSEE Math 2.3 Number Sense 173 Views
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Description:
Number Sense: Drill Set 2, Problem 3. What percentage of the total student population are enrolled in these physical education classes?
Transcript
- 00:03
Here's a shmoopy question for you...
- 00:05
Gigglepuss Clown Academy has 1200 clown-students enrolled.
- 00:09
480 of them participate in mandatory after-school clown sports like egg tossing...
- 00:14
for both distance and accuracy.
- 00:16
Another 320 future clowns are involved in the school's band and musical activities,
Full Transcript
- 00:21
focusing on horns, kazoos and snoggits.
- 00:24
The rest of the clown students are placed in physical education classes...
- 00:28
...learning about such things as how to duck quickly out of the way of a pie,
- 00:31
and how to collapse your body so you can fit inside a clown car with six of your peers.
- 00:38
What percentage of the total student population are enrolled in these physical education classes?
- 00:44
And here are the potential answers...
- 00:50
Okay, let's not get all caught up in the clown humor.
- 00:53
They are funny... and a little sad... but they are thrown in to many test questions
- 00:57
just to distract... and annoy us.
- 01:00
We just have to focus on the numbers. Be strong.
- 01:03
The question already tells us that the TOTAL clown population is 1200.
- 01:07
And it also gives us the break down of this 1200:
- 01:10
480 in sports, 320 in music, and "the rest" in P.E.
- 01:15
So in this two-part question, we have first to calculate the NUMBER in PE.
- 01:20
Simple enough... let's use the equation 480 + 320 + x equals 1200.
- 01:26
If we subtract the 480 and 320 from both sides, we get x = 400.
- 01:32
OK, part one done.
- 01:34
The second part asks for the percentage of PE clowns out of the total.
- 01:38
We now know both numbers, so this should be a cinch.
- 01:41
400 out of the total 1200 clowns are in PE. So we have 400 over 1200...
- 01:47
which simplifies to 4 over 12... which simplifies further to 1 over 3.
- 01:53
If we didn't know that 1/3 was about 33%, we'd divide it out this way:
- 01:58
3 goes into 1 to get point-3... we have 1 left over... and 3 goes into ten 3 times...
- 02:04
...and yeah - it repeats, so it's point-33.
- 02:08
We know that if 1 is 100%, point-33 should be 33%.
- 02:14
Scanning the answer choices... 33% pops right out at us... -- answer B.
- 02:19
We wish you the best of luck in clown school.
- 02:21
Just make sure you attend all your PE classes, so you get good at avoiding pie to the face.
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