A baseball stadium holds 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level.

Question

x + (2x + 40) + (3x – 50) = 15,002

The upper level has
seats.

Answer 1

Solving the equation:

6x - 10 = 15,002

6x = 15,012

x = 2502

Therefore, the upper level has 2502 seats.

The middle level has:

2(2502) + 40 = 5004 + 40 = 5044 seats

And the lower level has:

3(2502) - 50 = 7506 - 50 = 7456 seats.

Answer 2

Describe the steps used to find the value of x in the equation x + (2x + 40) + (3x – 50) = 15,002.

Answer 3

1. Start by simplifying the expression inside the parentheses, using the distributive property:

x + 2x + 40 + 3x - 50 = 15,002

6x - 10 = 15,002

2. Isolate the variable term on one side of the equation by adding 10 to both sides:

6x = 15,012

3. Solve for x by dividing both sides by 6:

x = 2,502

Therefore, the value of x in the equation is 2,502.