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26 March, 02:19

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:?

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Answers (1)
  1. 26 March, 02:36
    0
    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
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