SOLUTION: Six friends want to buy a piece of land, with each of them paying an equal share. On the day before the contract has to be signed, two of the friends decide to back out of the deal

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Six friends want to buy a piece of land, with each of them paying an equal share. On the day before the contract has to be signed, two of the friends decide to back out of the deal      Log On


   

Question 1085384: Six friends want to buy a piece of land, with each of them paying an equal share. On the day before the contract has to be signed, two of the friends decide to back out of the deal. The remaining four friends must therefore each increase their share by US$ 4.500. Calculate the price of the land.
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
I will solve it MENTALLY, without using equations.


It is clear from the condition that the contribution of the two friends who decided to back out, should be 4*4500 = 18000 dollars.


Hence, the price of the land is three times this, i.e. 3*18000 = $54000.