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A theater company has raised $930.75 by selling 25 floor seat tickets. Each ticket costs the same.

Part A: Write an equation with a variable that can be solved to correctly find the price of each ticket. Explain how you created this equation. (5 points)

Part B: Solve your equation in Part A to find the price of each floor seat ticket. How do you know your solution is correct? (5 points)

Respuesta :

Answer:

ticket cost = 37.23

Equation:- $930.75 = 25F

Step-by-step explanation:

$930.75 = 25F

F being the variable, representing the ticket cost

The total amount is equal to the number of seat per ticket

Part B:- 930.75/ 25 = 25F/25

F= 37.23

Therefore the ticket cost 37.23 for each ticket because they all cost the same

Answer:

A. 25y = $930.75

B. Each ticket costs $37.23.

Step-by-step explanation:

Part A:

25y = $930.75

We have this equation with two given facts:

25 × y = $930.75 and $930.75 ÷ 25 = y

The second equation which shows $930.75 ÷ 25 = y is not an equation we will use, because when you start solving it using algebra the following occurs:

$930.75 ÷ 25 = y

Multiply each side by 25.

$930.75 ÷ 25 × 25 = y × 25

$930.75 = 25y or 25y = $930.75

So you should answer with 25y = $930.75, because $930.75 ÷ 25 = y is simplified to that.

Part B:

25y ÷ 25 = $930.75 ÷ 25

y = $37.23

Check:

$37.23 × 25 = $930.75

We know our answer is correct.