Atotal of 810 tickets were sold for the school play. they were either adult tickets or student tickets. there were 60 more student tickets sold than adult tickets. how many adult tickets were sold?

375 adult tickets were sold

Step-by-step explanation:

810 = x + (x + 60)

x = adult tickets

2x + 60 = 810

-60

2x = 750

/2

375 = x

375 adult tickets were sold for the school play.

Solution:

Given that,

Total number of ticket sold for school play = 810 tickets

There are two types of ticket, one type for adults and one type for student.

Also given that 60 more student tickets sold than adult tickets.

Need to calculate how many adult ticket were sold.

Let assume number of adult ticket sold be represented by variable x.

As 60 more student tickets sold than adult tickets,  

So,

As total ticket sold = student ticket sold + adult ticket sold =

As total ticket sold = 810,  

Solving above expression to get the value of x  

Adult tickets sold = x = 375

Hence, 375 adult tickets were sold.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is