Harper goes on a tour where the ticket price is $10.50 along with 29 people according to the given expression. Solving the given expression for 'n' results in the required number.
<h3>How to solve an algebraic expression?</h3>
Solving an expression algebraically involves basic operations like addition, subtraction, multiplication, and division.
- In the expression, add/subtract the constant terms on both sides
- Multiply/divide the coefficient of the variable on both sides
- Solve for the variable.
<h3>Calculation:</h3>
Given that,
A tour company charges a given price per ticket based on the number 'n' of people who take the tour.
The maximum number of people who are allowed to take the tour is 35. I.e., n ≤ 35.
The price per ticket is $20 for n < 10 people and the price per ticket is given by the expression 20-(n-10)/2 for n > 10 people.
Harper goes on a tour where the ticket price is $10.50.
Since the price is less than $20, so the number of people who went on this tour is known by the expression 20-(n-10)/2 for n > 10 people.
So, solving the given expression:
20-(n-10)/2 = $10.50
-(n-10)/2 = 10.50 - 20
-(n-10)/2 = -9.5
(n-10) = 9.5 × 2
n -10 = 19
∴ n = 19 + 10 = 29
Therefore, 29 people went on this tour for a ticket price of $10.50.
Learn more about solving an expression here:
brainly.com/question/723406
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