Final answer:
The correct option is B). After computing the total earnings by dividing $120 by 0.75, we determine that Daniel made $160 from the show before paying his agent's commission. The correct answer is option B.
Step-by-step explanation:
Daniel took home $120 after his agent took a 25% commission. To find out how much Daniel made from the show before paying his agent, we need to understand that $120 represents 75% of the total amount (100% - 25% commission). So, if 75% corresponds to $120, we can determine the full amount (100%) by dividing $120 by 0.75 (75% as a decimal).
The calculation would be $120 / 0.75 = $160. Therefore, Daniel made $160 from the show before paying the commission to his agent, which is option B.