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.

A. p+c=25; 15p+10c=300
B. p+c=300; 15p+10c=25
C. p+c=25; 10p+15c=300
D. p+c=300; 10p+15c=25

Answer 1

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

1. The first equation should represent the total number of student council members participating in either activity. Since there are 25 members in total and they can either pick up litter (represented by \( p \)) or clean the hallways (represented by \( c \)), we have: \[ p + c = 25 \]

2. The second equation should represent the total amount of money raised. Each member who picks up litter earns $15 and each member who cleans the hallways earns $10. We need to make a total of $300, so the equation for the total money earned is: \[ 15p + 10c = 300 \]

Putting these two equations together gives us the system of equations we need. Thus, the correct option is:

A. \( p+c=25; 15p+10c=300 \)