Question

Busy Bees Charter school is going to celebrate the end of the school year at an amusement park. Student tickets at the amusement park are $20 each, and adult tickets are $35 each. The bus of 42 people paid $1080 to enter the amusement.
​Part A
If x is the number of students and y is the number of adults, write a system of equations to represent the situation.
Cost:
20x+35y=1080

People:
x+y=42

Part B
Solve the system of equations using elimination or substitution. Show your work.
​x =

​y =

​Part C
What does the solution of the system mean in this situation?

Answer 1

The number of people that went to the amusement park consisted of 26 students and 16 adults.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x is the number of students and y is the number of adults. The bus of 42 people paid $1080 to enter the amusement. Hence:

x + y  = 42   (1)

Also:

20x + 35y = 1080    (2)

From equation 1 and 2:

x = 26, y = 16

The number of people that went to the amusement park consisted of 26 students and 16 adults.

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