5. The number of men who attended a health awareness campaign was p. The
number of women was 10 more than the men. The number of children was 15
less than the number of men. Write and simplify an expression for the total
number of people who attended the campaign.



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].