Solve the 10 Problems and give proper explanation.

1) Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82.00. How many adults ticket did they buy? 2) At a store, Eva bought two shirts and five hats for $154.00. Nicole bought three same shirts and four same hats for $168.00. What is the price of each shirt? 3) A farmhouse shelters 10 animals, some are pigs, and some are ducks. Altogether there are 36 legs. How many pigs are there? 4) A class of 195 students went on a field trip. They took 19 vehicles, some cars and some buses. If each car holds 5 students and each bus hold 25 students, how many buses did they take? 5) A theater is selling tickets for a performance. Mr. Smith purchased 8 senior tickets and 5 child tickets for $136 for his friends and family. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96. What is the price of a senior ticket? $ 6) The difference of two numbers is 6. Their sum is 14. What is the bigger number? $_ 7) The sum of the digits of a certain two-digit number is 7. Reversing its digits increase the number by 9. What is the number? 8) The difference of two numbers is 18. Their sum is 66. What are the numbers? 9) The length of a rectangle is 3 meters greater than 2 times the width. The perimeter of rectangle is 30 meters. What is the length of the rectangle? 10) Jim has 44 nickels and dimes totaling $2.95. How many nickels does he have