To find the greatest common factor of 40 and 27, we can first start by making a list of factors for each number.
The factors of 27 are: 1, 3, 9, 27
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
When looking at these numbers, we can see that 1 is the greatest common factor of both 40 and 27.
Answer:
Children ticket cost $30 and adult ticket costs $40.
Step-by-step explanation:
Given that:
x = price of a child ticket
y = price of an adult ticket
According to given statement;
3x+2y=170 Eqn 1
4x+6y=360 Eqn 2
Multiplying Eqn 1 by 3
3(3x+2y=170)
9x+6y=510 Eqn 3
Subtracting Eqn 2 from Eqn 3
(9x+6y)-(4x+6y)=510-360
9x+6y-4x-6y=150
5x=150
Dividing both sides by 5

Putting x=30 in Eqn 1
3(30)+2y=170
90+2y=170
2y = 170-90
2y = 80
Dividing both sides by 2

Hence,
Children ticket cost $30 and adult ticket costs $40.
If you graph it, it looks linear.
Step-by-step explanation:
2x-10x= -4y-y
-8x= -5y
cancel (-) on both sides we get
8x=4y