contestada

The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. The school took in $126 the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price each of one senior citizen ticket and one student ticket?

Respuesta :

anthougo

The price of one senior citizen ticket is $8 while the price of one student ticket is $14.

How to solve simultaneous equations:

Forming the sales units and total revenue for each day as simultaneous equations will give:

Day one sales = 4c + 5s = $102   ... equation 1

Day two sales = 7c + 5s = $126    ... equation 2

Data and Calculations:

                        Senior Citizen (c)     Students  (s)  Total Sales

Day one                    4                         5               $102

Day two                    7                          5              $126

Equation 1: 4c + 5s = $102

Equation 2: 7c + 5s = $126

Elimination:

Deducting equation one from equation two will give:

   7c + 5s = $126

- 4c + 5s = $102

= 3c = $24

c = $8 ($24/3)

Substitution of c in equation one:

4c + 5s = $102

= 4 x $8 + 5s = $102

= $32 + 5s = $102

5s = $102 - $32

5s = $70

s = $14

Check accuracy in equation two:

7c + 5s = $126

= 7 x $8 + 5 x $14 = $126

= $56 + $70 = $126

Thus, the price of one senior citizen ticket is $8 while the price of one student ticket is $14.

Learn more about simultaneous equations at https://brainly.com/question/185757

#SPJ1

Otras preguntas