Question

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?

Answer 1

Answer :-

• Worth of House = $ 177,000

To Find :-

• The worth of house.

Given :-

• A house and a lot cost = $ 212,400

• Value of house is five times the value of lot.

Step By Step Solution :-

Let us consider the value of lot be x.

Then, Equation will be ⤵

$\bigstar \boxed{ \underline{ \sf{ \purple{x + 5x = 212400}}}}$

Now let us find the value of x !!

$\implies \sf \: x + 5x = 212400 \\ \\ \implies \sf \: 6x = 212400 \\ \\ \implies \sf \: x = \cancel\cfrac{212400}{6} \\ \\ \implies \sf \: x = 35400$

Therefore the value of x = 35400.

Hence the worth of House = 5 × 35,400 => $ 177,000

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