Question

at a real estate agency, an agent sold a house for $370,000. the commission rate is 6.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. how much did the agency make on the house? how much did the agent earn in commission?
the agency made $24050 on the house.
the agent earned $\square$ in commission.

Explanation:

Step1: Find agency's commission

The house is sold for $370,000, and the agency's commission rate is 6.5%. To find the agency's commission, we calculate 6.5% of 370,000.
First, convert 6.5% to a decimal: \( 6.5\% = 0.065 \)
Then, multiply by the house price: \( 370000 \times 0.065 = 24050 \) (which matches the given agency commission).

Step2: Find agent's commission

The agent's commission rate is 20% of the agency's commission. The agency's commission is $24050. So we calculate 20% of 24050.
Convert 20% to a decimal: \( 20\% = 0.2 \)
Multiply by the agency's commission: \( 24050 \times 0.2 = 4810 \)

Answer:

The agent earned $\boxed{4810}$ in commission.