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SAT Math Videos 171 videos
SAT Math 1.1 Algebra and Functions. Find an algebraic equation to correspond with the data.
SAT Math 1.1 Geometry and Measurement. What is the circumference of the circle?
SAT Math 1.1 Numbers and Operations. How many combinations of beverage and cereal can be made?
SAT Math 3.3 Statistics and Probability 220 Views
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Description:
SAT Math 3.3 Statistics and Probability
Transcript
- 00:02
Here’s your shmoop du jour, brought to you by Maps.
- 00:05
Before Google Maps, we used to use ACTUAL maps.
- 00:10
On a map, 1/3 of an inch represents 12 miles.
- 00:13
What is the real-life distance of two cities that are 7 5/6 inches apart on the map?
- 00:18
And here are the potential answers…
Full Transcript
- 00:25
This problem can be solved with a very simple unit conversion.
- 00:29
Uh…no. An even simpler unit conversion.
- 00:32
We’ll start with the 7 and 5/6 inches on the map we’re given.
- 00:35
It’s much easier to solve this thing if we’ve got it in improper fraction form,
- 00:40
so we’ll change it up.
- 00:41
7 is the same as 42/6… and 42/6 plus 5/6 equals 47/6. Done.
- 00:51
Now, we can convert.
- 00:53
When we convert between units, all we’re doing is multiplying by a fancy form of 1.
- 00:57
We multiply 47/6 inches by 12 miles per 1/3 inch.
- 01:05
And we have, 12 divided by 1/3 is really just 12 times 3, so we have 47/6 times 36.
- 01:14
We can divide the top and bottom by 6 to get 47 times 6, which is equal to 282.
- 01:20
Our answer is (D).
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