Sure, let's analyze the expression [tex]\(\frac{(p-2)}{3}\)[/tex].
We start by breaking down the expression itself:
- [tex]\(p\)[/tex] represents a certain number.
- We subtract 2 from [tex]\(p\)[/tex], giving [tex]\(p-2\)[/tex].
- Then, we divide this result by 3.
So, this expression represents taking 2 less than some quantity [tex]\(p\)[/tex], and then splitting that result into 3 equal parts.
Now, let’s see which statement matches this description:
1. 3 students split 2 less than the number of pencils:
This means the number of pencils is [tex]\(p\)[/tex]. Subtract 2 from [tex]\(p\)[/tex], resulting in [tex]\(p-2\)[/tex], and then divide by 3 because 3 students are splitting them. This directly matches the expression [tex]\(\frac{(p-2)}{3}\)[/tex].
2. 3 sets of parents have 2 more than the number of children:
This would be described by [tex]\( p + 2\)[/tex] (2 more than the number of children) divided by 3. This does not match our expression since we're subtracting 2, not adding it.
3. 2 pancakes less than three times the amount made:
This describes taking three times the amount [tex]\(p\)[/tex] and then subtracting 2. The expression for this would be [tex]\(3p - 2\)[/tex], which does not match our given expression at all.
4. 2 people split three less than the number of pop tarts:
This would be described by [tex]\( p - 3\)[/tex] (3 less than the number) divided by 2 (split between 2 people). This does not match because our expression subtracts 2 and divides by 3.
Therefore, the statement that best describes the expression [tex]\(\frac{(p-2)}{3}\)[/tex] is:
3 students split 2 less than the number of pencils.
So, the correct answer is:
1.
