contestada

Tickets to a school play cost $3 for students and $8 for adults. On opening night, $1000 was collected and 150 tickets sold. How many of each kind of ticket were sold? Write a system of equations and use substitution to solve.

Respuesta :

xEddyC
Let the number of students who bought tickets be s,
Let the number of adults who bought tickets be a,

Equation 1:

[tex]3s \: + \: 8a \: = \: 1000[/tex]

Equation 2:

[tex]s \: + \: a \: = \: 150 \\ s \: = \: 150 \: - \: a[/tex]

Substitute ( 2 ) into ( 1 ),

[tex]3(150 \: - \: a) \: + \: 8a \: = \: 1000 \\ 450 \: - \: 3a \: + \: 8a \: = \: 1000 \\ 5a \: = \: 550 \\ a \: = \: 110[/tex]

Substitute a = 110 into ( 2 ),

[tex]s \: + \: 110 \: = \: 150 \\ s \: = \: 40[/tex]

Ans: 40 Student Tickets, 110 Adult Tickets

Otras preguntas