Math Snap

STEP 1

Assumptions1. The salesperson gets40% of the commission, the broker gets60%.
. The land sold was50 acres.
3. The price per acre was $900.
4. The commission on the sale was10%.

STEP 2

First, we need to find the total sale price of the land. We can do this by multiplying the number of acres by the price per acre.
$$Total\, sale\, price = Number\, of\, acres \\times Price\, per\, acre$$

STEP 3

Now, plug in the given values for the number of acres and price per acre to calculate the total sale price.
Total\, sale\, price =50\, acres \\times \($\)900\, per\, acre

STEP 4

Calculate the total sale price.
Total\, sale\, price =50\, acres \\times \($\)900\, per\, acre = \($\)45,000

STEP 5

Now that we have the total sale price, we can find the total commission. This can be done by multiplying the total sale price by the commission rate.
$$Total\, commission = Total\, sale\, price \\times Commission\, rate$$

STEP 6

Plug in the values for the total sale price and the commission rate to calculate the total commission.
Total\, commission = \($\)45,000 \\times10\%

STEP 7

Convert the percentage to a decimal value.
$$10\% =0.1$$Total\, commission = \($\)45,000 \\times0.1

STEP 8

Calculate the total commission.
Total\, commission = \($\)45,000 \\times0.1 = \($\)4,500

STEP 9

Now that we have the total commission, we can find the broker's commission. This can be done by multiplying the total commission by the broker's split.
$$Broker's\, commission = Total\, commission \\times Broker's\, split$$

STEP 10

Plug in the values for the total commission and the broker's split to calculate the broker's commission.
Broker's\, commission = \($\)4,500 \\times60\%

STEP 11

Convert the percentage to a decimal value.
$$60\% =0.6$$Broker's\, commission = \($\)4,500 \\times0.6

Calculate the broker's commission.
Broker's\, commission = \($\)4,500 \\times0.6 = \($\)2,700The broker's commission after the split was $2,700.