Two years ago there were 20 trailer homes on Elm Street with an average age of 18 years. At that time, a group of brand new trailer homes was then added to Elm Street. Today, the average age of all the trailer homes on Elm Street is 14 years. How many new trailer homes were added two years ago?

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Answer:

The number of new trailer homes that were added two years ago is 10

Step-by-step explanation:

Given that

Twenty years ago there are 20 trailer homes having an average age of 18 years

Today, the average of the age is 14 years

We need to find out the number of new trailer homes that would be added two years ago

Since as of now 20 trailer homes would be an average of 20 years and we assume the new trailers be n that are 2 years old

So

20 +  n

And, the sum of their ages i.e. (20) ( 20)  + 2n

Now the following equation is used

[tex]\frac{400 + 2n}{20 + n} = 14[/tex]

400 + 2n = 14(20 + n)

400 + 2n = 280 + 14n

120 = 12n

n = 10

Hence, the number of new trailer homes that were added two years ago is 10

Answer:

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Step-by-step explanation:

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