help me solve all these three word problems, it's matrices in algebra 2

For each problem below: a) define variables, b) formulate a system of equations c) solve by a method of your choice (show all work/show your matrix equation if using matrices) d) state the solution with appropriate units. 3. The sum of three number is 24. Twice the smallest number is 2 less than the largest number, and the largest number is equal to the sum of the other two. What are the three numbers? 4. A theater has tickets at $6 for adults, $3.50 for students, and $2.50 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $1300. If the number of adult tickets sold was 10 less than twice the number of student tickets, how many of each type of ticket were sold for the showing? 5. Jill purchased two tubes of lip balm, a bottle of water, and a tube of sunscreen for $19. Jason purchased three bottles of water and two tubes of sunscreen for $28. John spent $18 on a tube of lip balm, two bottles of water, and a tube of sunscreen. What is the price of each item