Question

A house and a lot are appraised at $420000. If the value of the lot 3/4 of the value of the house, how much is the lot alone worth?

Answer 1

Hello from MrBillDoesMath!

Answer:

180000

Discussion:

Let H = house and L = lot. The Question tells us that H + L = 420000 and L = 3/4H. We are asked to solve for L

H        + L = 420000                => L = 3/4H implies that H =4/3L

(4/3)L + L = 420000               => (4/3) + 1 = 7/3

(7/3)L       = 420000               => multiply both sides by 3/7

(3/7)(7/3)L = (3/7)420000       => as (3/7)(7/3) = 1

L =  180000

Check:  

H + L                = 420000

H + 180000    = 420000

H                      = 420000 - 180000

H =                   =240000

Is L = 3/4H ?

Does     180000 = 3/4 ( 240000)   ?

Does     180000 = (3* 240000)/4 = 720000/4 = 180000  Yes! so the answers check!

Thank you,

MrB