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

Question

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

Answer 1

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

1. \( p + c = 25 \) (This represents the total number of student council members, which is 25.)
2. \( 15p + 10c = 300 \) (This represents the total amount of money raised, where the principal pays $15 for each member picking up litter and $10 for each member cleaning the hallways, totaling $300.)

So, the response is:

\( p + c = 25 \); \( 15p + 10c = 300 \)