Final answer:
The real estate agency makes $16,065 from the sale of the house, and the agent earns a commission of $4,016.25.
Step-by-step explanation:
To calculate the commission for the real estate agency and the agent from the sale of a house for $357,000 with a commission rate of 4.5% for the agency, and the agent's commission being 25% of the agency's commission, we first find the total commission for the agency:
$357,000 × 4.5% = $16,065
This is the amount the real estate agency earns before paying the agent. Now we calculate the agent's portion:
$16,065 × 25% = $4,016.25
So, the real estate agency makes $16,065 on the house, and the agent earns $4,016.25 in commission.