To determine how much Elise will pay for a student ticket, we can follow these steps:
1. Let's assign a variable to represent the price of the student ticket. We'll call it "x".
2. According to the information given, the adult ticket is $10 more than two-thirds of the price of a student ticket. So, the equation can be written as:
Adult ticket price = 2/3 * x + $10
3. The adult ticket price is given as $21. Substituting this value into the equation, we have:
$21 = 2/3 * x + $10
4. To isolate the variable, we can subtract $10 from both sides of the equation:
$21 - $10 = 2/3 * x
Simplifying, we get:
$11 = 2/3 * x
5. Finally, to solve for "x", we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
($11) * (3/2) = x
Multiplying, we get:
$33/2 = x
Therefore, Elise will pay $16.50 for a student ticket.
In summary, the equation to determine how much Elise will pay for a student ticket is 2/3 * x + $10 = $21, and solving for "x" gives us x = $16.50.