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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

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StevieShinobi
If the lot is 5 times more than there are 6 amounts that are the same that add up to be 212,400. so 212,400/6 is 35,400. since the house is 5 times more than the lot we take 35,400 and multiply it by 5 which is 177,000 the value of the house. We can check our answer by adding 35,400 to our 177,000 and we get 212400

Answer:

$177,000

Step-by-step explanation:

Let x represent value of lot.

We have been given that the value of the house is five times the value of the lot. The value of house would be [tex]5x[/tex].

We have been given that a house and a lot are appraised at 212,400. We can represent this information in an equation as:

[tex]x+5x=212,400[/tex]

[tex]6x=212,400[/tex]

[tex]\frac{6x}{6}=\frac{212,400}{6}[/tex]

[tex]x=35,400[/tex]

Now, we will substitute [tex]x=35,400[/tex] in expression [tex]5x[/tex].

[tex]5x=5(35,400)=177,000[/tex]

Therefore, the house is worth $177,000.

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