Question

The Lincoln High School Student Council wants to raise $300 to make a donation to a homeless shelter. To help the students earn the money, the principal has agreed to pay $15 for each member who picks up litter outside, p , and $10 for each member who cleans the hallways, c . All 25 members of the student council will be participating. Write the pair of linear equations that model this situation.(1 point) Responses p+c=300 ; 15p+10c=25 p plus c equals 300 ; 15 p plus 10 c equals 25 p+c=25 ; 10p+15c=300 p plus c equals 25 ; 10 p plus 15 c equals 300 p+c=25 ; 15p+10c=300 p plus c equals 25 ; 15 p plus 10 c equals 300 p+c=300 ; 10p+15c=25

Answer 1

To model the situation given in the problem, we need to establish two equations based on the conditions provided.

1. The first equation will represent the total number of student council members participating:
\[
p + c = 25
\]
(where \( p \) is the number of members picking up litter and \( c \) is the number of members cleaning the hallways).

2. The second equation will represent the total amount of money they want to raise for the donation:
\[
15p + 10c = 300
\]
(where \( 15p \) is the total money earned from picking up litter and \( 10c \) is the total money earned from cleaning hallways).

Thus, the correct pair of linear equations that model this situation is:
\[
p + c = 25
\]
\[
15p + 10c = 300
\]

None of the provided options exactly match this.