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A family buys 5 airline tickets and travel insurance that costs $17 per ticket. The total cost is $1495. Let x represent the price of one ticket. Write an equation to represent this situation. What is the price of one ticket? ​

Respuesta :

Answer:  Equation that represents this situation is 5(x+17) = 1495,

Price of one ticket is 282

Step-by-step explanation:

Here x represents the price of one ticket,

Also, a person bought travel insurance that costs $17 per ticket.

Hence, the total cost of a person = x + 17

⇒ The total cost of 5 person = 5 ( x + 17 )

But, According to the question,

5 ( x + 17 ) = 1495

⇒ x + 17 = 299

⇒ x = 299 - 17

⇒ x = 282

Hence, the price of one ticket = $ 282

Expression contains numbers, variables, and mathematical operations. The cost of a single ticket is for the family is $282.

What is an expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that the cost of the insurance for a single ticket is $17, while the cost of a single ticket is x. And the cost of all 5 tickets is $1495. Therefore, the cost of each ticket x can be expressed as,

[tex]5(x+17) = 1495\\\\x+17 =\dfrac{1495}{5}\\\\x+17=299\\\\x = 282[/tex]

Hence, the cost of a single ticket is for the family is $282.

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