To solve this problem, we need to determine the value of x, which represents the cost of the ticket.
Let's break down the information given:
Cost of the ticket: x
Cost of the hotel: 1/2 * x
Total amount of money: $760
Amount of money left: $310
We can set up the equation as follows:
Amount of money at the beginning - Cost of the ticket - Cost of the hotel = Amount of money left
$760 - x - (1/2 * x) = $310
Let's simplify and solve for x:
$760 - x - (1/2 * x) = $310
To simplify the equation, we can combine like terms:
$760 - (3/2 * x) = $310
To isolate x, we subtract $760 from both sides of the equation:
$760 - $760 - (3/2 * x) = $310 - $760
-(3/2 * x) = -$450
To solve for x, we divide both sides of the equation by -(3/2):
x = -$450 / -(3/2)
x = $300
The value of x is $300.
#### 300
The answer is: 300
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Maria went on a trip to Belgium. She paid $x for the ticket and half of that for the hotel. How much money does she have left, She had $310 when she had $760 at the beginning.

### Answer:
