A sports team sold a total of 293 adult and child tickets to a recent game. Adult tickets cost $25.50 and child tickets cost $8.

Question

2 years ago

9

The team collected $6019 from ticket sales. Using any method, calculate how many of each ticket (adult and child) were sold.

1 answer:

frozen [14] · Answer 1 · 2023-06-08T17:04:27+03:00

The number of tickets for adults is 210 and the number of tickets for children is 83.

<h3>What is a linear equation?</h3>

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 x be the number of tickets for adults and y be the number of tickets for children.

From the problem:

x + y = 293

25.50x + 8y = 6019

After solving with the substitution method:

$\rm 25.5\left(293-y\right)+8y=6019$

y = 83

x = 210

Thus, the number of tickets for adults is 210 and the number of tickets for children is 83.

Learn more about the linear equation here:

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