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=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
p plus c equals 300 ; 10 p plus 15 c equals 25
Remaining Attempts : 3
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Answer 1

To write the pair of linear equations that model the situation described:

1. The first equation represents the total number of Student Council members participating in the activities of picking up litter and cleaning hallways. Since all 25 members are involved, we have: \[ p + c = 25 \] where \( p \) is the number of members picking up litter and \( c \) is the number of members cleaning the hallways.

2. The second equation represents the total amount of money raised. Each member who picks up litter earns $15, and each member who cleans the hallways earns $10. To raise a total of $300, we have: \[ 15p + 10c = 300 \]

Putting these two equations together, we get the following system: \[ \begin{aligned}

1. & \quad p + c = 25 \
2. & \quad 15p + 10c = 300 \end{aligned} \]

Thus, the correct response is: \( p + c = 25; \quad 15p + 10c = 300 \) or in words, \( p \) plus \( c \) equals 25; \( 15p \) plus \( 10c \) equals 300.