How Many $90 and $120 Tickets Were Sold at the Concert?

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SUMMARY

The discussion centers on solving a system of equations to determine the number of $90 and $120 tickets sold at a concert, given a total income of $85,500 and 800 tickets sold. The equation M = pxX + pyY is introduced, where M represents total income, px and py are the prices of the tickets, and X and Y are the quantities sold of each ticket type. To solve for X and Y, participants emphasize the need for a second equation, specifically that X + Y equals 800, to create a solvable system.

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Students learning algebra, event organizers managing ticket sales, and anyone interested in applying mathematical concepts to real-life financial scenarios.

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To a music consert there were an Income of 85500$
There were 2 types of tickets sold, one that cost 90$ and one that cost 120$. totally there were 800 tickets sold, how many of each ticket was sold.

Here I Shall use the ordinary math equation M = pxX + pyY and solve the equation, and I have no idea how to solve it!?

Please Help me
 
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Izekid said:
To a music consert there were an Income of 85500$
There were 2 types of tickets sold, one that cost 90$ and one that cost 120$. totally there were 800 tickets sold, how many of each ticket was sold.

Here I Shall use the ordinary math equation M = pxX + pyY and solve the equation, and I have no idea how to solve it!?
You should help us out and let us know what the variables M, px, X, py, and Y stand for, for two reasons:
1) it makes it easier for us,
2) It shows us that you know how to interpret that equation.

You need as many equations as there are unknown variables. Here you have two unknown variables X and Y, the number sold of each type of ticket. You have only one equation so far so you need another one.

hint: what does X + Y equal?
 
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