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High School is selling tickets to its Spring Concert. Adult tickets cost $4 and student tickets cost $2.50.900 tickets are sold and the
school makes $2820. Which system of linear equations represent this situation.

Respuesta :

Answer:

The system of linear equations is:

x  +  y  =  900

4*x  + 2,50*y = 2820

The solution:

x  =  380 Adults tickets

y =  520 Students tickets

Step-by-step explanation:

Let´s call " x " Adult tickets quantity and  " y " students tickets, then if 900 tickets were sold

x  +  y  = 900

And if school makes 2820 $, then

4*x + 2,50*y  = 2820

The system of linear equations is:

x  +  y  =  900

4*x  + 2,50*y = 2820

Slving ths system

y  =  900 - x

4*x + 2,50 * ( 900 - x )  =  2820

4*x + 2250 - 2,50 *x  = 2820

1,50*x  =  570

x  = 380  Adult tickets

And y =  900 - 380

y = 520 student tickets

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