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=25; 15p+10c=300
p plus c equals 25 ; 15 p plus 10 c equals 300

p+c=25; 10p+15c=300
p plus c equals 25 ; 10 p plus 15 c equals 300

p+c=300; 15p+10c=25
p plus c equals 300 ; 15 p plus 10 c equals 25

p+c=300; 10p+15c=25

Answer 1

The correct pair of linear equations that model the situation is:

\[
p + c = 25
\]
\[
15p + 10c = 300
\]

So the first option is the correct one:
- \( p + c = 25; \, 15p + 10c = 300 \)
- \( p \) represents the number of members picking up litter, and \( c \) represents the number of members cleaning the hallways.