The value of zlatans house has increased by 7% His house is now valued at ?749,000 Work out the value of the house before the increase

Respuesta :

Answer:

$440588.24

Step-by-step explanation:

Let x be the value of Zlatans house before the increase.

We are told that the value of Zlatans house has increased by 7%. His house is now valued at $749,000. This means that value of house(x) before increase plus 7% of x will be equal to $749000.

We can set this information in an equation as:  

[tex]x+\frac{70}{100}x=74900[/tex]

[tex]x+0.7x=74900[/tex]

Upon combining like terms we will get,

[tex](1+0.7)x=74900[/tex]      

[tex]1.7x=74900[/tex]  

[tex]x=\frac{749000}{1.7}[/tex]    

[tex]x=440588.2352941176470588\approx 440588.24[/tex]      

Therefore, the value of the house before increase will be $440588.24.

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