b. Alice’s school is selling tickets to the school carnival.
On the first day of ticket sales, the school sold 3 adult tickets and 9 student tickets for a total of $75.
The second day, the school sold $67 by selling 8 adult and 5 student tickets.
What is the price each of one adult and one student ticket?
+36916 Let x = Adult price
Let y = student price
Then you have the following system of equations:
3x + 9y = $ 75 and
8x + 5y = 67 Now solve....
SInce 3x + 9y = 75 if we divide through by 3
x+3y = 25 re-arrange
x = 25 -3y Sustitute THIS value of 'x' in to the second equation of the set
8 (25-3y) + 5y = 67 and solve for y
200 - 24 y + 5y = 67
-19y = -133
y = student price = $ 7
NOW, substitue THIS value of y into either one of the first two equations to calculate x ...the adult price...
,,,,,,,,.you should be able to finish,,,
+36916 Let x = Adult price
Let y = student price
Then you have the following system of equations:
3x + 9y = $ 75 and
8x + 5y = 67 Now solve....
SInce 3x + 9y = 75 if we divide through by 3
x+3y = 25 re-arrange
x = 25 -3y Sustitute THIS value of 'x' in to the second equation of the set
8 (25-3y) + 5y = 67 and solve for y
200 - 24 y + 5y = 67
-19y = -133
y = student price = $ 7
NOW, substitue THIS value of y into either one of the first two equations to calculate x ...the adult price...
,,,,,,,,.you should be able to finish,,,
