Final answer:
The equation '45 - 3x = 6' represents Option C, where George has 45 candy bars and gives 3 to each of his friends. This fits the equation since it involves subtraction, aligning with the concept of George giving away candy bars and ending with 6.
Step-by-step explanation:
The equation 45 - 3x = 6 can be interpreted in the context of a real-world problem about sharing candy bars. Let's analyze the options given to determine the correct scenario:
- Option A) George bought 45 candy bars and received 3 more from each friend. - This option implies George is gaining candy bars, which would increase the number if friends are giving him candy bars. This does not fit the equation, which shows a subtraction.
- Option B) George bought 45 candy bars and received 6 more from each friend. - This option also suggests that George's total number of candy bars would increase, making it incompatible with the equation that shows a subtraction.
- Option C) George bought 45 candy bars and gave 3 to each friend. - This aligns with the equation where George starts with 45 candy bars and loses 3 times the number of friends (x) he gives candy bars to.
- Option D) George bought 45 candy bars and gave 6 to each friend. - Although this indicates George is giving away candy bars, the number '6' doesn't match the number being subtracted in the equation.
The correct problem situation the equation represents is Option C. Here, George starts with 45 candy bars, and for each friend (x), he gives away 3 candy bars. The equation calculates how many friends he can give candy bars to and end up with 6 candy bars left for himself.