the movie theater sold 345 tickets to a show if 2/3 of the tickets sold were adult tickets which cost $13.95 each how much money did the theater make from the sale of childrens if they cost 2/3 of the amount of the adult tickets

Question

step 1 determine how many students tickets were sold

step 2 determine how much each student ticket cost blank answer with a dollar amount rounded to the nearest hundredth

step 3 use the answers from steps 1 and 2 to determine the amount of money the theater made dfrom the sale of childrens tickets blank answer with a dollar amount rounded to the nearest hundredth

Answer 1

Let's solve it step by step.

Step 1: Determine how many students tickets were sold.

• Total tickets sold: 345
• Tickets sold that were adult tickets: \( \frac{2}{3} \times 345 = 230 \)
• Tickets sold that were children's tickets: Total tickets - Adult tickets = \( 345 - 230 = 115 \)

Children's tickets sold: 115

Step 2: Determine how much each student ticket cost.

• Cost of adult ticket: $13.95
• Cost of children's ticket: \( \frac{2}{3} \) of adult ticket price = \( \frac{2}{3} \times 13.95 \)

Calculating children's ticket price:

\[ \frac{2}{3} \times 13.95 = 9.30 \]

Cost of each children's ticket: $9.30

Step 3: Use the answers from steps 1 and 2 to determine the amount of money the theater made from the sale of children’s tickets.

• Total revenue from children's tickets = Number of children's tickets sold × Price of each children's ticket

\[ 115 \times 9.30 = 1069.50 \]

Amount of money the theater made from the sale of children’s tickets: $1069.50

Summary of Answers:

1. Children's tickets sold: 115
2. Cost of each children's ticket: $9.30
3. Amount made from children's tickets: $1069.50