The Empire State Building reaches one thousand two hundred fifty feet at the top floor. Keira has a model of this landmark building that is 8 inches tall. What is the scale between the model and the actual building?
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"Scale- The ratio of the length in a drawing (or model) to the length of the real thing.
Example: in the drawing anything with the size of "1" would have a size of "10" in the real world, so a measurement of 150mm on the drawing would be 1500mm on the real horse."
So the height of the Empire State Building is 1,250 ft.
The height of the model is 8 inches.
You first want to convert 1,250 ft into inches.
Since 12 inches is in 1 feet.
Then 1,250 * 12 would represent the height of the Empire State Building in inches.
So, 1,250 * 12 = ?
Not the answer you are looking for? Search for more explanations.
Now they're asking you, "the scale between the model and the actual building"
Since, the model is 8 inches, and the actual building in inches is 15,000 inches.
You can put that into a ratio.
The final step is to simplify the ratio.
Do you know how to simplify?
Well, you want to find the greatest common factor of 8 and 15,000.
The easiest way to do it is to find any common factor of 8 and 15,000.
Do you think 2 is a common factor of 8 and 15,000?
So divide 8 and 2.
And 15,000 and 2.
8/2 = 4.
15,000 / 2 = 7,500.
Now we have 4:7,500
Is it in simpliest form? Well, is 2 a common factor of 4 and 7,500?
so whats the answer
Well, answer my question first. Is 2 a common factor of 4, and 7,500?
what do I do
Divide 4 by 2
And 7,500 by 2.
What does that give you?
4 by 2 is 2
Good. And 7500 /2 = ?
Good. Now we have:
Can this be simplify more?
Well, 2 / 2 =?
3750 / 2 = ?
Great. Now the scale looks like 1:1875.
It can't be simplfy more because the only common factor of 1 is 1.
So the answer is:
1: 1875 or 1/1875.