Systems of Linear Equations Online Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
12 of 1312 of 13 Items

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
; 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

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

Answer 1

To set up the pair of linear equations for the situation described:

1. Identify the variables:

   • Let \( p \) be the number of members who pick up litter.
   • Let \( c \) be the number of members who clean the hallways.

2. Total members: Since there are 25 members in total, we can create the first equation based on the total participation: \[ p + c = 25 \]

3. Money raised: The principal pays $15 for each member picking up litter and $10 for each member cleaning the hallways. The total amount they want to raise is $300, leading to the second equation: \[ 15p + 10c = 300 \]

Thus, the correct pair of linear equations is:

• \( p + c = 25 \)
• \( 15p + 10c = 300 \)

From the provided options, the correct choice is: p+c=25; 15p+10c=300