Some History teachers at Riverside High School are purchasing tickets for students and their adult chaperones to go on a field trip to a nearby museum. For her class, Mrs. Levin bought 27 student tickets and 25 adult tickets, which cost a total of $614. Mr. Lawson spent $733, getting 27 student tickets and 32 adult tickets. What is the price for each type of ticket?

Cost of student ticket =  $7

Cost of Adult ticket = $17

Step-by-step explanation:

Let cost of student ticket = x

Cost of Adult ticket = y

Making expressions from statements

Mrs. Levin bought 27 student tickets and 25 adult tickets, which cost a total of $614.

Mr. Lawson spent $733, getting 27 student tickets and 32 adult tickets.

Now solving these equations to find values of x and y

Let

Subtracting both equations

So, we get value of y = 17

Now, finding value of x, by putting value of y in eq(1)

So, we get value of x = 7

Cost of student ticket = x = $7

Cost of Adult ticket = y = $17

they are simplified

step-by-step explanation: