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

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

Answer 1

To model the situation, we need to establish two equations based on the information given.

1. The first equation represents the total number of student council members participating, which is 25:
\( p + c = 25 \)

Here, \( p \) is the number of members who pick up litter, and \( c \) is the number of members who clean the hallways.

2. The second equation represents the total amount of money raised to donate, which is $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 pair of linear equations that model this situation is:
1. \( p + c = 25 \)
2. \( 15p + 10c = 300 \)

The correct response from the options provided is:
**p+c=25; 15p+10c=300**
This corresponds to: \( p \) plus \( c \) equals 25; \( 15p \) plus \( 10c \) equals 300.