Question

Hayley so 20 tickets to the school play for total of $225. Early bird tickets were $10 regular priced tickets are $15. Wright and solve a system of equations that can be used to find the cost of each type of ticket. And what is the order pair solution

Answer 1

System of Equations

For the problem to solve we'll use the following variables:

x = number of the early bird tickets sold

y = number of the regular tickets sold

Haley sold a total of 20 tickets, thus:

x + y = 20 [1]

Early bird tickets cost $10 and regular tickets cost $15, thus the total money collected is:

10x + 15y = 225

Dividing by 5:

2x + 3y = 45 [2]

We have to solve the system of equations [1] and [2].

Multiply [1] by -2:

-2x - 2y = -40 [3]

Add [3] to [2]:

-2x - 2y +2x + 3y = -40 + 45

Simplifying:

y = 5

Substituting in [1]:

x + 5 = 20

Subtracting 5:

x = 20 - 5

x = 15

Solution: Hayley sold 15 early bird tickets and 5 regular-priced tickets

The order pair solution is (15,5)