Question

A family is purchasing 17 tickets for a downtown walking tour. Adult tickets are $10, child tickets are $7, and senior tickets are $8.50. The total
cost of the tickets is $141.50, and they are purchasing 2 more senior tickets than adult tickets.

Create and solve a system of linear equations to represent this situation. Then select the true statement.


А. The solution to this system is nonviable because it results in a fractional number of tickets.

B. The solution to this system is no viable because it results in a negative number of tickets.

C. The solution to this system is viable.

D. The solution to this system is nonviable because it results in a fractional amount of money.

Answer 1

Answer:

А. The solution to this system is nonviable because it results in a fractional number of tickets.

Step-by-step explanation:

Let x represent the number of adult tickets, y represent the number of child ticket and z represent the number of senior ticket.

Since the number of purchased ticket is 17, hence:

x + y + z = 17         (1)

The total cost of tickets is $141.50, hence:

10x + 7y + 8.5z = 141.5       (2)

they are purchasing 2 more senior tickets than adult tickets, therefore:

x = z + 2        (3)

Solving equation 1 2 and 3 simultaneously gives:

x =17/3, y = 23/3, z = 11/3

Therefore the solution to this system is nonviable because it results in a fractional number of tickets.