In a souvenir shop, Jodi purchased 2 small picture frames and 1 large one for $28. Mike bought 3 medium-size frames and 2 large ones for $56. Shelly bought a small, a medium, and a large frame for$30. Write a system of equations to find the price of each size of picture frame.

At the arcade Sami won 2 blue tickets, 1 yellow ticket and 3 red tickets for 1500 total points. Jamal won 1 blue ticket, 2 yellow tickets, and 2 red tickets for 1225 total points. Yvonne won 2 blue tickets and 3 yellow tickets, and 1 red ticket for 1200 total points. Write a system of equations to determine the point value of each type of ticket.

The band members sold pumpkins on October 10 to raise money for their annual tour. Rick sold 4 small pumpkins, 2 medium-sized pumpkins, and 8 large pumpkins for $45.20. Valeria sold 7 small, 2 medium and 5 large pumpkins for $35.45. Therese sold 2 small and 9 medium and 16 large pumpkins for $93.40. Write a system of equations to find the price of each of the three sizes of pumpkins.

The sum of three numbers is -2. The sum of three times the first number, twice the second number and the third number is 9. The difference between the second number and half the third number is 10. Find the numbers.