Question

A train conductor counted 300 ticket receipts on the 2:00 PM train. The price for a student ticket is $8.25, and the price

for a regular ticket is $12. The conductor collected a total of $2,925.
Let u represent the number of regular tickets and y represent the number of student tickets. Write the ordered pair, (x, y),
that represents the ticket sales.

Answer 1

(x,y) = (120,180)

Explanation:

Number of tickets receipts=300 tickets

Student ticket price= $8.25

Regular ticket=$12

Total amount collected= $2925

Let x to represent regular tickets

Let y to represent student tickets

Then you can form equations as shown below;

Equation for total number of tickets

x+y=300

Equation for total amount collected

$12x+$8.25y=$2925

Form simultaneous equations as;

x+y=300------------------(1)

12x+8.26y=2925---------(11)

You can use a graphing tool to graph the two equation and visualize the point of intersection of the graphs to get (x,y) values.

From the attached graph, (x,y) is (120,180)