The equation \( 25 + p = 38 \) can be interpreted to find \( p \) as the number that, when added to 25, equals 38. This means \( p \) represents the difference between 38 and 25, which is 13.
Evaluating the provided sentences based on this understanding:
- "25 more than 38 is p." - Incorrect, as it suggests \( p = 63 \).
- "25 more than 38 is p." - Incorrect, same reason as the first.
- "25 times as much as p is 38." - Incorrect, implies \( 25p = 38 \).
- "25 times as much as p is 38." - Incorrect, same reason as the third.
- "38 is p more than 25." - Correct, as it directly translates to \( p = 38 - 25 \).
- "38 is p more than 25." - Correct, same reason as the fifth.
- "Will jogged 25 blocks. Rachel jogged 38 blocks more than Will. How many blocks did Rachel jog?" - Correct, as Rachel jogs \( 25 + p = 38 \) where \( p \) is the distance Rachel jogged beyond Will's count.
- "Will jogged 25 blocks. Rachel jogged 38 blocks more than Will. How many blocks did Rachel jog?" - Correct, same reasoning as the seventh.
- "Drew has 38 pens. Jenny has 25 fewer. How many more pens does Drew have than Jenny?" - This indirectly derives from subtraction, but does not represent the equation \( 25 + p = 38 \) because it emphasizes the difference rather than the sum.
Thus, the correct statements that can be represented by the equation \( 25 + p = 38 \) are:
- "38 is p more than 25."
- "38 is p more than 25."
- "Will jogged 25 blocks. Rachel jogged 38 blocks more than Will. How many blocks did Rachel jog?"
- "Will jogged 25 blocks. Rachel jogged 38 blocks more than Will. How many blocks did Rachel jog?"
1 answer