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.
x + (2x + 40) + (3x – 50) = 15,002
The upper level has
seats.
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.
Describe the steps used to find the value of x in the equation x + (2x + 40) + (3x – 50) = 15,002.
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.
To find the number of seats in the upper level, we need to solve the equation:
x + (2x + 40) + (3x – 50) = 15,002
Let's simplify the equation step by step.
Combine like terms:
6x – 10 = 15,002
Add 10 to both sides of the equation:
6x = 15,002 + 10
6x = 15,012
Divide both sides by 6:
x = 15,012 / 6
x ≈ 2,502
Therefore, the upper level has approximately 2,502 seats.
To find the number of seats in the upper level, we need to solve the equation:
x + (2x + 40) + (3x – 50) = 15,002
Here's how we can solve it step by step:
1. Simplify the equation by combining like terms:
6x - 10 = 15,002
2. Add 10 to both sides of the equation:
6x = 15,012
3. Divide both sides of the equation by 6:
x = 2,502
So, the upper level has 2,502 seats.