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