QuestionTotal ticket sales expression: $100n + 250t$ , where $n$ is one-day passes and $t$ is three-day passes sold.

Studdy Solution

STEP 1

Assumptions1. The cost of a one-day pass is $100. The cost of a three-day pass is$ 2503. The number of one-day passes sold is represented by $n$
4. The number of three-day passes sold is represented by $t$

STEP 2

We can start by writing an expression for the total sales from the one-day passes. This would be the cost of a one-day pass multiplied by the number of one-day passes sold.
$Sales_{one-day} = Cost_{one-day} \\times Number_{one-day}$

STEP 3

Substitute the given values for the cost of a one-day pass and the number of one-day passes sold.
$Sales_{one-day} = \$100 \\times n$

STEP 4

Next, we write an expression for the total sales from the three-day passes. This would be the cost of a three-day pass multiplied by the number of three-day passes sold.
$Sales_{three-day} = Cost_{three-day} \\times Number_{three-day}$

STEP 5

Substitute the given values for the cost of a three-day pass and the number of three-day passes sold.
$Sales_{three-day} = \$250 \\times t$

STEP 6

The total ticket sales would be the sum of the sales from the one-day passes and the three-day passes.
$Total\, Sales = Sales_{one-day} + Sales_{three-day}$

STEP 7

Substitute the expressions for the sales from the one-day and three-day passes.
$Total\, Sales = \$100 \\times n + \$250 \\times t$ This is the expression for the total ticket sales if $n$ one-day passes and $t$ three-day passes are sold.

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