Respuesta :
4,262 / 54 =78.9. So they got 77 lower bowl seats
123-77= 46 upper bowl seats
123-77= 46 upper bowl seats
The number of lower bowl seats an upper bowl seats tickets to the local basketball arena bought by group is 53 and 70 respectively.
What is system of equation?
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
- Tickets to the local basketball arena cost $54 for lower bowl seats and $20 for upper bowl seats.
- A large group purchased 123 tickets at a cost of $4,262.
Let the number of lower bowl seats purchased by group is x and upper bowl seats is y. As number of ticket purchased is 123. Thus,
[tex]x+y=123[/tex]
Solve it further,
[tex]x+y=123\\x=123-y[/tex] ....1
The total cost of ticket is 4262. Thus,
[tex]54x+20y=4262[/tex]
Put the value of x in this equation,
[tex]54(123-y)+20y=4262\\6642-54y+20y=4262\\-34y+20y=4262-6642\\-34y=-2380\\y=\dfrac{2380}{34}\\y=70[/tex]
Put this value in equation 1,
[tex]x=123-70\\x=53[/tex]
Thus the number of lower bowl seats an upper bowl seats tickets to the local basketball arena bought by group is 53 and 70 respectively.
Learn more about the system of equations here;
https://brainly.com/question/13729904
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