ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Geometry and Measurement Videos 48 videos

SAT Math 6.1 Geometry and Measurement
3974 Views

SAT Math 6.1 Geometry and Measurement

SAT Math 2.1 Geometry and Measurement
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

SAT Math 3.3 Geometry and Measurement
188 Views

SAT Math 3.3 Geometry and Measurement

See All

SAT Math 6.1 Geometry and Measurement 3974 Views


Share It!


Description:

SAT Math 6.1 Geometry and Measurement

Language:
English Language

Transcript

00:03

A little birdie told us you wanted to solve a Shmoopy problem.

00:08

Four people can sit around one square table. When two tables are pushed together, six people

00:13

will fit, and eight people will fit around three tables pushed together.

00:17

How many square tables, pushed together in a long rectangle, would be needed to sit twenty people?

00:22

Here are the potential answers...

00:28

Here we’ve got square tables that keep getting pushed together to accommodate our rapidly growing party…

00:33

We’re told that 4 people can sit at one square table, which makes sense…

00:37

…6 people can fit around 2 tables…

00:39

…and 8 people can fit around 3.

00:42

The best way to get a sense of what's going on here is to make ourselves a little chart.

00:46

So, if we expand this a tiny bit further, we get something like this:

00:49

Aha! A pattern has emerged!

00:53

What we might notice is that, in every instance,

00:56

the number of people is double the number of tables… plus 2.

01:02

So working in reverse, if we have 20 people, we’d subtract 2…

01:05

… then cut that number in half.

01:07

We get 9 as our answer… which is C.

01:10

We’re sure your parents will understand you inviting over some friends.

01:13

What they may not understand, however, is why you had to take out the dining room wall

01:17

to make room for all of those folding tables…

Related Videos

SAT Math 2.1 Geometry and Measurement
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

SAT Math 9.4 Algebra and Functions
1300 Views

SAT Math 9.4 Algebra and Functions

SAT Math 9.2 Algebra and Functions
377 Views

SAT Math 9.2 Algebra and Functions

SAT Math: Identifying an Equation for the Average of Two Percentages
23 Views

In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...

SAT Math: Which Equation Represents Profit?
13 Views

Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...