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Tickets for a basketball game cost $20 for upper-level seats and $30 for lower-level seats. Tickets at the same venue
for an ice hockey game cost $15 for upper-level seats and $35 for lower-level seats. If tickets for all seats are sold,
the venue generates $7000 in revenue for a basketball game and $6500 for a hockey game. How many upper and
lower-level seats does the venue have?
Let x represent the number of upper-level seats.
Let y represent the number of lower-level seats.
20x + 30y = 7000
15x + 35y = 6500
The venue has
upper-level seats and lower-level seats.

Respuesta :

Answer:

200 and 100

Step-by-step explanation:

Just did it:)

Answer:

The number of upper-level seats = 200

The number of lower-level seats = 100

Step-by-step explanation:

Given:

x = the number of upper-level seats.

y = the number of lower-level seats.

According to the question:

20x + 30y = 7000

15x + 35y = 6500

Multiply first equation by 3 and second by 4 then subtract them

[tex]3(20x + 30y) - 4(15x + 35y ) = 3(7000)-4(6500)\\60x+90y-60x-140y=-5000\\-50y=-5000\\y=100[/tex]

Plug y=100 in 20x + 30y = 7000.

[tex]20x + 30y = 7000\\20x + 30(100) = 7000\\20x+3000=7000\\20x=4000\\x=200[/tex]

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