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

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

Answer 1

To model the situation with a pair of linear equations, we can set up the following equations based on the information provided:

1. The total number of members participating in picking up litter (p) and cleaning hallways (c) is 25:
\[
p + c = 25
\]

2. The total amount of money raised from both activities should equal $300. The principal pays $15 for each member who picks up litter and $10 for each member who cleans the hallways:
\[
15p + 10c = 300
\]

So the correct pair of linear equations is:
\[
p + c = 25
\]
\[
15p + 10c = 300
\]

This corresponds to the first set of equations in the options given:
**p + c = 25 ; 15p + 10c = 300**.