Problema Solution

Bob Brown bought two plots of land for a total of $110,000. On the first plot, he made a profit of 16%. On the second, he lost 4%. His total profit was $9600. How much did he pay for each piece of land?

Answer provided by our tutors

let


x = the cost of the first plot

y = the cost of the second plot


Bob Brown bought two plots of land for a total of $110,000


x + y = 110000


On the first plot, he made a profit of 16%. On the second, he lost 4%. His total profit was $9600.


0.16*x - 0.04y = 9600


by solving the system of equations


x + y = 110000

0.16*x - 0.04y = 9600


we find


x = $70,000


y = $40,000


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Bob paid $70,000 for the first plot and $40,000 for the second plot.