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)

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

GPT-4o mini · Accepted Answer

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.