Answer :
Certainly! Let's solve this step by step.
1. Define Variables:
- Let [tex]\( p \)[/tex] be the number of men who attended the campaign.
2. Determine the number of women:
- According to the problem, the number of women was 10 more than the number of men.
- Therefore, the number of women can be expressed as [tex]\( p + 10 \)[/tex].
3. Determine the number of children:
- The problem states that the number of children was 15 less than the number of men.
- Hence, the number of children can be expressed as [tex]\( p - 15 \)[/tex].
4. Calculate the total number of people:
- To find the total number of people who attended the campaign, we need to add the number of men, women, and children together.
- The total number of people = (Number of men) + (Number of women) + (Number of children).
Substitute the expressions we have:
[tex]\[ \text{Total number of people} = p + (p + 10) + (p - 15) \][/tex]
5. Simplify the expression:
- Combine like terms:
[tex]\[ \text{Total number of people} = p + p + 10 + p - 15 \][/tex]
- Simplify further:
[tex]\[ \text{Total number of people} = 3p - 5 \][/tex]
So, the simplified expression for the total number of people who attended the campaign is [tex]\( 3p - 5 \)[/tex].
Thus, if [tex]\( p \)[/tex] is the number of men who attended the campaign, the total number of people who attended the campaign is [tex]\( 3p - 5 \)[/tex].
1. Define Variables:
- Let [tex]\( p \)[/tex] be the number of men who attended the campaign.
2. Determine the number of women:
- According to the problem, the number of women was 10 more than the number of men.
- Therefore, the number of women can be expressed as [tex]\( p + 10 \)[/tex].
3. Determine the number of children:
- The problem states that the number of children was 15 less than the number of men.
- Hence, the number of children can be expressed as [tex]\( p - 15 \)[/tex].
4. Calculate the total number of people:
- To find the total number of people who attended the campaign, we need to add the number of men, women, and children together.
- The total number of people = (Number of men) + (Number of women) + (Number of children).
Substitute the expressions we have:
[tex]\[ \text{Total number of people} = p + (p + 10) + (p - 15) \][/tex]
5. Simplify the expression:
- Combine like terms:
[tex]\[ \text{Total number of people} = p + p + 10 + p - 15 \][/tex]
- Simplify further:
[tex]\[ \text{Total number of people} = 3p - 5 \][/tex]
So, the simplified expression for the total number of people who attended the campaign is [tex]\( 3p - 5 \)[/tex].
Thus, if [tex]\( p \)[/tex] is the number of men who attended the campaign, the total number of people who attended the campaign is [tex]\( 3p - 5 \)[/tex].