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Sneakerheadz has two types of new sneakers for sale that require tickets for you to purchase. An Event Day ticket costs $54. 95 on the day of the sneaker sale. A Pre-Sale ticket purchased before the day of the sneaker sale costs $39. 95. A total of 20,000 tickets (Event Day and Pre-Sale) were sold for $925,000

Sagot :

Using a system of equations, it is found that 9091 Event Day and 10909 Pre-Sale tickets were sold.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Number of Event Day tickets sold.
  • Variable y: Number of Pre-Sale tickets sold.

20,000 tickets were sold, hence:

x + y = 20000.

Considering the total of $925,000, and the price for each ticket, we have that:

54.95x + 39y = 925000.

From the first equation:

y = 20000 - x

Hence, replacing on the second:

54.95x + 39(20000 - x) = 925000.

15.95x = 145000

x = 9091.

Then:

y = 20000 - x = 20000 - 9091 = 10909.

9091 Event Day and 10909 Pre-Sale tickets were sold.

More can be learned about a system of equations at https://brainly.com/question/24342899

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