izzykissel
Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Write a System of Equations to solve the following problem:

The school that Maria goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 senior citizen ticket and 12 student tickets for a total of $51. The school took in $93 on the second day by selling 5 senior citizen tickets and 6 student tickets. What is the price each of one senior citizen ticket and one student ticket?

Cost of Senior Citizen Ticket: $

Cost of Student Ticket: $

Sagot :

mathstudent55

Answer:

Cost of Senior Citizen Ticket: $15

Cost of Student Ticket: $3

Step-by-step explanation:

Let the price of a senior citizen ticket be s.

Let the price of a student ticket be t.

Day 1:

s + 12t = 51

Day 2:

5s + 6t = 93

The system of equations is:

s + 12t = 51

5s + 6t = 93

Let's use the substitution method to solve it. Solve the first equation for s.

s = 51 - 12t

Now substitute s in the second equation with 51 - 12t.

5s + 6t = 93

5(51 - 12t) + 6t = 93

255 - 60t + 6t = 93

Subtract 255 from both sides. Combine -60t and 6t.

-54t = -162

Divide both sides by -54.

t = 3

Now substitute 3 for t in the equation

s = 51 - 12t

s = 51 - 12(3)

s = 51 - 36

s = 15

Answer:

Cost of Senior Citizen Ticket: $15

Cost of Student Ticket: $3

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.