Question

Tickets to a Broadway show cost $45 for adults and $15 for children. The total receipts for 1550 tickets at one performance were $53,850. How many adult and how many child tickets were sold? Number of Adult tickets sold = Number of Children tickets sold =

Answer 1

Answer:

the Number of Adult tickets sold is 1,020 and Number of Children tickets sold is 530

Step-by-step explanation:

The computation of the number of adults and number of children tickets sold is given below:

Let us assume the number of adult be x

And, for children be y

So, the equations are

x + y = 1,550..........(1)

45x + 15y = $53,850.......(2)

Now multiply by 15 in equation 1

15x + 15y = $23,250

45x + 15y = $53,850

Now subtract last equation from the other equation

-30x = -$30,600

x = 1,020

And, y = 1,550 - 1,020

= 530

Hence, the Number of Adult tickets sold is 1,020 and Number of Children tickets sold is 530