A concert hall has 300 seats. If the number of reserved seats is 50 more than th

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Question: A concert hall has 300 seats. If the number of reserved seats is 50 more than the number of general admission seats, how many reserved seats are there?

Options:

Correct Answer: 175

Solution:

Let the number of general admission seats be x. Then the number of reserved seats is x + 50. The equation is x + (x + 50) = 300. Solving gives 2x + 50 = 300, so 2x = 250, x = 125. Therefore, reserved seats = x + 50 = 175.

A concert hall has 300 seats. If the number of reserved seats is 50 more than th

Practice Questions

A concert hall has 300 seats. If the number of reserved seats is 50 more than the number of general admission seats, how many reserved seats are there?

Questions & Step-by-Step Solutions

A concert hall has 300 seats. If the number of reserved seats is 50 more than the number of general admission seats, how many reserved seats are there?

Step 1: Understand that there are two types of seats: general admission seats and reserved seats.
Step 2: Let the number of general admission seats be represented by the letter 'x'.
Step 3: Since the number of reserved seats is 50 more than the general admission seats, we can express the reserved seats as 'x + 50'.
Step 4: The total number of seats in the concert hall is 300. Therefore, we can write the equation: x (general admission) + (x + 50) (reserved) = 300.
Step 5: Simplify the equation: x + x + 50 = 300, which becomes 2x + 50 = 300.
Step 6: To solve for 'x', first subtract 50 from both sides of the equation: 2x = 300 - 50, which simplifies to 2x = 250.
Step 7: Now, divide both sides by 2 to find 'x': x = 250 / 2, which gives x = 125.
Step 8: Now that we know the number of general admission seats (x = 125), we can find the number of reserved seats by calculating x + 50: 125 + 50 = 175.
Step 9: Therefore, the number of reserved seats is 175.

Algebraic Equations – The question tests the ability to set up and solve a linear equation based on a word problem.
Word Problems – The question requires translating a real-world scenario into a mathematical equation.
Understanding Relationships – The question involves understanding the relationship between reserved and general admission seats.

A concert hall has 300 seats. If the number of reserved seats is 50 more than th

What’s inside this PDF?

A concert hall has 300 seats. If the number of reserved seats is 50 more than th

Practice Questions

Questions & Step-by-Step Solutions

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