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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?

Language:
English Language

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,

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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