Q:

These expressions represent the number of middle school students who signed up for 4 different spring intramural sports.8n-10 - Baseball2n+3 - Flag footballn+4 - Kickball3(2n-1) - SoccerThe number of students signed up for baseball and kickball is equal to the number of students signed up for flag football and soccer.Part A: Model the situation with an equation by writing the correct expression in place of each question mark.? + ? = ? + ?Part B: Solve the equation. Then identify the number of students signed up for each sport.n = ?Baseball: ?Flag Football: ?Kickball: ?Soccer: ?

Accepted Solution

A:
Answer:part a :8n-10 + n+4 = 2n+3 + 3(2n-1)part b : n = 6baseball = 38flag football = 15kickball = 10soccer = 33Step-by-step explanation:part a :8n-10 + n+4 = 2n+3 + 3(2n-1)part b :9n - 6 = 2n+3 + 6n-39n - 6 = 8nn = 6now plug in to every equation to solve for how many student play in that sportbaseball : 8(6)-10 = 38flag football : 2(6)+3 = 15kickball : (6)+4 = 10soccer : 3[2(6)-1]=33