Question

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. the price per ticket is $20 unless more than 10 people take the tour. if more than 10 people take the tour, the price per ticket is given by the expression: 20- n-10/2 b. harper goes on a tour where the ticket price is $10.50. how many people went on this tour? solve algebraically.

Answer 1

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.

How to solve an algebraic expression?

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.

Calculation:

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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