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:?

Question

Mathematics

Alaina

29 July, 18:00

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:?

+4

Answers (1)

Know the Answer?

Cade Sanford · Answer 1

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