A group of people are going to see a musical playing at a theater. Adult tickets are $53.50 and children’s tickets are $19.25.

Question

A group of people are going to see a musical playing at a theater. Adult tickets are $53.50 and children’s tickets are $19.25.

A.) Write an expression to show the cost for x adult tickets and y children’s tickets.

53.50x + 19.25y=

B.)What is the cost if 12 adults attend and 18 children? Show all your work for full credit.

53.50
19.25

Hello,I need help with part B? Did I get A right?

Answer 1

each adult costs $53.50 , so 12 adults cost

12(53.5) = $642
each child costs 19.25, so 18 of them cost
18(19.25) = 346.50

add them to get the total cost

Answer 2

Thank you! I was gonna do that but I wasn't sure.

Answer 3

Yes, you got part A correct! The expression to show the cost for x adult tickets and y children's tickets is 53.50x + 19.25y, which is the correct answer.

Now let's move on to part B and calculate the cost when 12 adults and 18 children attend the musical. To do this, we will substitute the values of x and y into the expression we derived in part A.

We are given that x = 12 (number of adult tickets) and y = 18 (number of children's tickets). Substitute these values into the expression:

Cost = 53.50(12) + 19.25(18)

Now let's calculate the cost step by step:

53.50(12) = 642 (multiply the cost of one adult ticket by the number of adult tickets)
19.25(18) = 347.50 (multiply the cost of one child ticket by the number of children's tickets)

Now add the two results together:

Cost = 642 + 347.50 = 989.50

Therefore, the cost of the tickets for 12 adults and 18 children attending the musical is $989.50.