#3: The Hansen family bought 2 child and 2 adult movie tickets and paid $36.50. The Owens family bought 5 child and 2 adult tickets and paid $60.50. How much does a child movie ticket cost? *

Cost of child movie = x = $8

Cost of adult movie = y = $10.25

Step-by-step explanation:

Let cost of child movie = x

Cost of adult movie = y

Now converting statements into mathematical expressions:

Hansen family bought 2 child and 2 adult movie tickets and paid $36.50.

Owens family bought 5 child and 2 adult tickets and paid $60.50.

Let:

Subtract both equations:

So, we get Value of x =8

Now, putting value of x in eq(1) to find value of y

So, we get Value of y = 10.25

So,

Cost of child movie = x = $8

Cost of adult movie = y = $10.25

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.