Question

Question 5

Tickets to Greendale High School soccer game cost $7 for adults and $5 for students. There is a total of 150 tickets
sold for $850. How many adult tickets are sold and how many student tickets are sold?
Part A
Write a system of equations that represents the situation.
x + y =
Part B
x + 5y =
Solve the system of equations. Express the coordinates as decimals if necessary.
Part C
Interpret the solution.
there are __ adult tickets and __ student tickets sold

Answer 1

Part A
x + y = 150

Part B
7x + 5y = 850

Part C
Solution is x = 50, y = 100

there are 50 adult tickets and 100 student tickets sold

Explanation:

Let x = number of adult tickets and y= number of student tickets

We have the following equation

x + y = 150 (1) =>total number of tickets

7x + 5y = 850 (2) > total cost of x adult and y student tickets

Multiply (1) x 5:

5x + 5y = 750 (3)

Subtract (2) - (3)

7x + 5y - (5x + 5y) = 850 - 750

7x - 5x + 5y - 5y = 100
2x = 100

x = 50

y = 150 - 50 = 100