Word math problem

Question

Roger bought two plots of land for a total of 120,000. When he sold the first plot, he made a profit of 15%. When he sold the second, he lost 10% his total profit was $5500. How much did he pay for each piece of land?

Answer 1

Roger bought two plots of land for a total of 120,000

 

x + y = 120,000, y = 120,000 - x

 

When he sold the first plot, he made a profit of 15%.

 

(x)1.15

 

When he sold the second, he lost 10%

 

(y).90

 

his total profit was $5500

 

120,000 + 5500 = 125,500

 

125,500 = (x)1.15 +  (y).90

125,500 = (x)1.15 + (120,000 - x)(.90)

125,500 = 1.15x + 108,000 - .90x

17500 = .25x

x = 70,000

y = 50,000