Question

These expressions represent the number of middle school students who signed up for 4 different spring intramural sports.

8n-10 - Baseball
2n+3 - Flag football
n+4 - Kickball
3(2n-1) - Soccer

The 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: ?

Answer 1

Answer:

part a :

8n-10 + n+4 = 2n+3 + 3(2n-1)

part b :

n = 6

baseball = 38

flag football = 15

kickball = 10

soccer = 33

Step-by-step explanation:

part a :

8n-10 + n+4 = 2n+3 + 3(2n-1)

part b :

9n - 6 = 2n+3 + 6n-3

9n - 6 = 8n

n = 6

now plug in to every equation to solve for how many student play in that sport

baseball : 8(6)-10 = 38

flag football : 2(6)+3 = 15

kickball : (6)+4 = 10

soccer : 3[2(6)-1]=33