Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

A county fair sold 1,750 tickets, each of which was either an adult or children's ticket, and earned a total of \$27,000. The fair earned 25\% more from adult tickets than from children's tickets, but sold 25\% fewer adult tickets than children's tickets. How much did a children's ticket cost

Sagot :

Answer:

Step-by-step explanation:

Let the number children tickets = c

Number of adult tickets = 75% of c = 0.75c

c + 0.75c = 1750

1.75c = 1750

   c = 1750/1.75 = 1000

Number of children = 1000

Number of adults = 75% of 1000  = 750

Cost of adult ticket = $ x

Cost of child ticket = 75% of x = 0.75x

Cost of 750 adult ticket = 750x

Cost of 1000 children ticket = 1000 * 0.75x = 750x

750x + 750x = 27000

              1500x = 27000

                      x = 27000/1500

x = $ 18

Cost of adult ticket =  $ 18

Cost of children ticket = 75% of 18 = 0.75 * 18 = $ 13.5

Cost of children's ticket = $ 13.50

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.