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All tickets for a concert are the same price. The ticket agency adds a fixed fee to every order. A person who buys 5 tickets pays $93. A person who orders 3 tickets pays $57. How much do 4 tickets cost

Respuesta :

absor201

The cost of 4 tickets will be $75.

Step-by-step explanation:

Given,

Cost of 5 tickets = $93

Cost of 3 tickets = $57

Let,

x be the cost of one ticket.

y be the fixed fee to every order.

According to given statement;

5x+y=93    Eqn 1

3x+y=57    Eqn 2

Subtracting Eqn 2 from Eqn 1;

[tex](5x+y)-(3x+y)=93-57\\5x+y-3x-y=36\\2x=36[/tex]

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{36}{2}\\x=18[/tex]

Putting x=18 in Eqn 1;

[tex]5(18)+y=93\\90+y=93\\y=93-90\\y=3[/tex]

Therefore,

Cost of 4 tickets = 4x+y = 4(18)+3 = 72+3 = $75

The cost of 4 tickets will be $75.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10808021
  • brainly.com/question/10894205

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