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Playlist CAHSEE Math Test Prep: Mathematical Reasoning 30 videos

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CAHSEE Math 1.1 Mathematical Reasoning
228 Views

CAHSEE Mathematical Reasoning: Drill 1, Problem 1. Based on this information, which of the following can be determined?

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CAHSEE Math 1.2 Mathematical Reasoning
185 Views

CAHSEE Math Mathematical Reasoning: Drill Set 1, Problem 2. Which of the following should be the most appropriate first step in solving the equation?

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CAHSEE Math 1.3 Mathematical Reasoning
183 Views

CAHSEE Math Mathematical Reasoning: Drill 1 Problem 3. Which of the following is the correct order of steps?

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CAHSEE Math 5.1 Mathematical Reasoning 209 Views


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Description:

Mathematical Reasoning Drill 5, Problem 1. Which of the following could be the number of pieces the lasagna was cut into?

Language:
English Language

Transcript

00:03

Here’s your shmoop du jour...

00:05

Garfield, Odie and Jon have a tray of lasagna they want to divide evenly.

00:09

Well… Garfield wants the whole thing to himself, but Jon is putting his foot down.

00:13

The lasagna is cut evenly into portions such

00:16

that the three people-slash-animals sharing it fairly will have no leftovers.

00:21

If two of Jon’s friends were to come over and five people were to share it,

00:25

two pieces would be left over… …and if nine people were to share it,

00:28

three pieces would be left over.

00:30

Which of the following could be the number of pieces the lasagna was cut into?

00:34

And here are the potential answers…

00:39

At first, this problem looks really hard.

00:42

We need to find a number that has no remainder when we divide it by three…

00:45

...a remainder of two when we divide it by five,

00:48

and a remainder of three when we divide it by nine.

00:51

Lucky for us, this question is multiple choice…

00:53

…which means all we have to do is test the answer choices, starting with (A).

00:57

If we divide (A) by three, we get twelve divided by three is four, with no remainder.

01:02

Good so far.

01:03

Twelve divided by five is two, with a remainder of two.

01:07

That’s also what we want, so this looks promising.

01:09

Twelve divided by nine is one, with a remainder of three.

01:12

Great! This is our answer. And lucky us, we got it on the first try.

01:16

It’s usually a good idea to make sure though,

01:18

so let’s check out the other answers and try to see why they’re wrong.

01:22

The problem with (B) is that twenty-one divided by five is four with a remainder of one, not two.

01:27

With (C), thirty divided by five leaves a remainder of zero,

01:30

which also isn’t what we’re looking for.

01:32

We get a similar problem with (D): thirty-nine divided by five has a remainder of four.

01:38

Looks like our answer is (A).

01:39

As in, “All gone.”

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