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Tickets for the Battle of the Bands went on sale this week. On the first day of sales, 45 adult tickets and 20 student tickets were sold for a total of $875. On the last day of ticket sales, 25 adult tickets and 40 student tickets were sold for a total of $775. Let x represent the cost for each adult ticket and let y represent the cost for each student ticket. Write a system of equations to model this scenario and solve that system to determine the cost of each adult ticket.

First Day of Sales Equation:

Last Day of Sales Equation:

What is the cost of each adult ticket?
dollars.

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samanthabridges samanthabridges · Answer 1 · 2019-06-07T19:58:49+02:00

Answer:

First day: 45x +20y = 875

Second day: 25x + 40y = 775

Adult ticket price: $15

Step-by-step explanation:

See paper attached. (:

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ewomazinoade ewomazinoade · Answer 2 · 2022-03-28T11:19:13+02:00

The system of equations that model this scenario is:

45x + 20y = $875 equation 1

25x + 40y = $775 equation 2

The price of adults tickets is $15. The price of student's ticket is $10.

In order to determine this value, multiplot equation 1 by 2 and subtract the resulting equation from equation 2.

90x + 40y = 1750 equation 3

975 = 65x

x = 15

Substitute for x in equation 1

45(15) + 20 = 875

675 + 20y = 875

y = (875 - 675) / 20

y = 10

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552