SOLUTION: You are going to dinner and a hockey game, and you have two different plans as options. The family Pack provides 2 pizzas and 4 hockey tickets for $210. The Party Rock provides 4 p

Question 954277: You are going to dinner and a hockey game, and you have two different plans as options. The family Pack provides 2 pizzas and 4 hockey tickets for $210. The Party Rock provides 4 pizzas and 10 hockey tickets for $516. How much does one pizza cost and how much does one hockey ticket cost?
Variables
X=
Y=
System=
Solution=
Answer by aYummyNoodle(10) (Show Source): You can put this solution on YOUR website!
let x = the cost of a pizza
let y = the cost of a hockey ticket
We can now substitute the and in for the pizza and hockey tickets:
and

Of course, there are 3 different ways to solve systems of linear equations. They are graphing substitution, and elimination. For this system, I will use elimination.
We first multiply the first equation by 2 get both 's with the same coefficient:

Now that we both equations, we can subtract them from each other to eliminate the . Subtracting the second equation from the first equation gives us

Divide by 2 and then we get
back into the original first equation to get:

So a pizza costs $11.
A pizza costs $11 and a hockey ticket costs $47.
RELATED QUESTIONS
You are going to dinner and a hockey game, and you have two different plans as options.... (answered by ikleyn)

A pizza parlor has 6 meat options, 8 vegetable options, 3 sauces, and 4 types of cheese. (answered by math_tutor2020)

you are purchasing a car, there are two different model, five different colors, and three (answered by Alan3354)

There are 7 different restaurants in the X City. Part a. You want to choose 2 different... (answered by ikleyn)

8 people are having a party. Two are to be chosen to go out and get pizzas. How many... (answered by Alan3354)

Question 1 Question: If an increase from $150 to $200 is 33⅓%, what would the... (answered by reviewermath,MathTherapy)

A new employee has a choice of 5 health care plans, 3 retirements plans and 2 different... (answered by ikleyn)

On a grid sketch two different polynomial functions which are of degree 5 and belong to... (answered by stanbon,ikleyn)