Question

At a local basketball game, all tickets are the same price and all souvenirs are the same price. Mr. Smith bought 2 tickets for this basketball game and 1 souvenir for a total of $17.25. Ms. Lockhart bought 5 tickets to the same game and 2 souvenirs for a total of $42.00. How much was a ticket to this game?


*please explain!*

Answer 1

Answer:

The answer is $7.50.

Step-by-step explanation:

First you have to find the price of the souvenirs which were $2.25, just by doing each common price. Then you just do the answer you got divided by two.

Answer 2

The one ticket for this basketball game is $ 7.50, and one ticket for a souvenir is $2.25.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

Let's suppose the price of the one ticket = $x

And the price of the one souvenir = $y

We have:

2x + y = 17.25 ....(1)

5x + 2y = 42.00 ....(2)  (from the quetion)

From the equation (1):

y = 17.25 - 2x

Put the value of y in the equation (2), we get:

5x +2(17.25 -2x) = 42

5x + 34.5 - 4x = 42

x = 42 - 34.5

x = $ 7.50

and y = 17.25 - 2x ⇒ 17.25 - 2(7.5) ⇒ $2.25

Thus, the one ticket for this basketball game is $ 7.50, and one ticket for a souvenir is $2.25.

Learn more about the linear equation here:

brainly.com/question/11897796