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

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 2

$177,000

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
`5x`.

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

`x+5x=212,400`

`6x=212,400`

`(6x)/(6)=(212,400)/(6)`

`x=35,400`

Now, we will substitute
`x=35,400` in expression
`5x`.

`5x=5(35,400)=177,000`

Therefore, the house is worth $177,000.