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Becky’s school is selling tickets to the basketball playoff game. On the first day of ticket sales the school sold 32 adult tickets (xx) and 53 student tickets (yy) for a total of $574. On the second day, the school sold 11 adult tickets (xx) and 15 student tickets (yy) to total $178. Write the equations that represent this situation.

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Attempt 1 out of 3

The equation that represents the first day of sales:

The equation that represents the second day of sales:

1 answer

To represent the situation described, we can create two equations based on the information provided about ticket sales.

Let's define:

  • \( x \) as the price of one adult ticket.
  • \( y \) as the price of one student ticket.

Equation for the first day of sales: On the first day, the school sold 32 adult tickets and 53 student tickets for a total of $574. The equation can be written as:

\[ 32x + 53y = 574 \]

Equation for the second day of sales: On the second day, the school sold 11 adult tickets and 15 student tickets for a total of $178. The equation for this day can be written as:

\[ 11x + 15y = 178 \]

So the final equations that represent the ticket sales situation are:

  1. \( 32x + 53y = 574 \)
  2. \( 11x + 15y = 178 \)