JESSI bought two plots of land for a total of 120000 on the first plot she made a profit of 15%. on the second plot she lost 10% .her total profit was 5500, how much did she pay for each piece of land? ( please show the whole procedure of this math even the rough works) Thank you so much!!!

If the 15% plot cost x, then the rest was invested at 10%

.15x - .10(120000-x) = 5500
x = 70,000

thank you Steve u r the best.....

To solve this problem, let's start by assigning variables to the unknowns.

Let's assume the cost of the first plot of land is x dollars, and the cost of the second plot of land is y dollars.

According to the given information, JESSI made a profit of 15% on the first plot and incurred a loss of 10% on the second plot.

Now, let's calculate the profit she made on the first plot and the loss on the second plot:

Profit on the first plot = 15% of x
= 0.15x

Loss on the second plot = 10% of y
= 0.10y

The total profit JESSI made from both plots is said to be $5500.

So, we have the equation:
0.15x - 0.10y = 5500 ----(Equation 1)

Also, we know the total cost of both plots is $120,000.

So, we have another equation:
x + y = 120000 ----(Equation 2)

Now, we have a system of two equations. We can use a method called substitution or elimination to find the values of x and y.

Let's use the elimination method.

Multiply Equation 1 by 10 and Equation 2 by 15 to make the coefficients of x in both equations equal.

10 * (0.15x - 0.10y) = 10 * 5500
15 * (x + y) = 15 * 120000

1.5x - y = 55000 ----(Equation 3)
15x + 15y = 1800000 ----(Equation 4)

Add Equation 3 and Equation 4 to eliminate the y term:

1.5x - y + 15x + 15y = 55000 + 1800000
16.5x + 14y = 1855000 ----(Equation 5)

Multiply Equation 2 by -14 and add it to Equation 5 to eliminate the y term:

-14 * (x + y) + 16.5x + 14y = -14 * 120000 + 1855000
-14x - 14y + 16.5x + 14y = -1680000 + 1855000
2.5x = 175000
x = 175000 / 2.5
x = 70000

Now substitute the value of x in Equation 2:
70000 + y = 120000
y = 120000 - 70000
y = 50000

Therefore, JESSI paid $70,000 for the first plot of land and $50,000 for the second plot of land.