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=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
; 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
Remaining Attempts : 3
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Answer 1

To model this situation with a pair of linear equations, we first need to establish what the variables represent.

Let:

• \( p \) be the number of members picking up litter.
• \( c \) be the number of members cleaning the hallways.

There are two main equations we can derive from the problem description:

1. The total number of members participating is 25, so: \[ p + c = 25 \]

2. The total amount earned needs to be $300. Members earn $15 for picking up litter and $10 for cleaning hallways, so: \[ 15p + 10c = 300 \]

Thus, the correct pair of linear equations that models this situation is:

1. \( p + c = 25 \)
2. \( 15p + 10c = 300 \)

This corresponds to the option:

• \( p+c=25 \); \( 15p+10c=300 \)

So, the response is: p plus c equals 25; 15 p plus 10 c equals 300.