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 ; 10p+15c=300 p plus c equals 25 ; 10 p plus 15 c equals 300 p+c=25 ; 15p+10c=300
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To model the situation described, we need to set up two equations based on the information given:
The total number of members participating in picking up litter (p) and cleaning hallways (c) is equal to 25: \[ p + c = 25 \]
The total amount of money raised from picking up litter ($15 per member) and cleaning hallways ($10 per member) needs to equal $300: \[ 15p + 10c = 300 \]
Thus, the correct pair of linear equations that model this situation is: \[ p + c = 25 \] \[ 15p + 10c = 300 \]
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