Question

Please help me I need this to be done very soon!!Please!!

The Case of the Unknown Ticket Prices!


The school that Billy Bob goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.


Graph the system of equations you created for the above word problem after changing them to slope-intercept form.


Use the Desmos Graphing a System of Linear Equations graph.


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What is the ordered pair of your intersection?


Make sure you use parenthesis and no spaces! example: (5,9)

Answer 1

price of senior citizen ticket is $8 and price of child ticke be $14.

The plot is as attached. the ordered pair is (8,14)

Explanation:

Let price of senior citizen ticket be $x and price of child ticke be $y.

we are given that On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38.

Then we can write

`3x+y=38..(i)`

The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.

So we can write

`3x+2y=52...(ii)`

Now solve above two equations togethere we get

`3x+2(38-3x)=52\\3x+76-6x=52\\-3x=52-76\\-3x=-24\\x=8`

`y=38-3*8\\y=38-24\\y=14\\`

price of senior citizen ticket is $8 and price of child ticke be $14.

In slope intercept form the above equation can be written as

`y=38-3x`

`y= - (3/2)x+26`

The plot is as attached. the ordered pair is (8,14)