A house and a lot are appraised at 212,400. If the value of the house is five times the value of the lot, how much Is the house worth

Mathematics · College · Mon Jan 18 2021

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Given the statement:

A house and a lot are appraised at 212,400.

Determine the value of the house if it is 5 times the value of the lot.

Solution:
In order to determine the answer, we must first equate the given in an equation.

x = value of the lot

5x = value of the house.

x + 5x = 212400

Solve for x.

x + 5x = 212400

6x = 212400

Divide both sides by 6 in order to determine the value of the lot.

6x/6 = 212400/6

x = 35,400

Multiply the value of x by 5 to determine the value of the house.

= 5(35,400)

=  177,000

Final answer:

The value of the house is 177,000.

 

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