Question

Concert tickets cost $65 for general admission and $55 for student admission. Let "g" be the number of general admission tickets sold and "s" be the number of student admission tickets sold. If the concert ticket sales total $6,500, which linear equation could be used to model the situation?

Answer 1

65g + 55s = 6500 is the linear equation that can be used to model the situation

Solution:

Given that,

Cost of 1 general admission = $ 65

Cost of 1 student admission = $ 55

Let "g" be the number of general admission tickets sold and "s" be the number of student admission tickets sold.

To find: linear equation used to model the situation

The standard form for linear equations in two variables is Ax + By = C

The concert ticket sales total $6,500

So we can frame a equation as:

number of general admission tickets sold x Cost of 1 general admission + number of student admission tickets sold x Cost of 1 student admission = $ 6500

`g * 65 + s * 55 = 6500`

`65g + 55s = 6500`

Thus the above linear equation can be used to model the situation