Systems word problems: wheels on bicycles and tricycles

Write two equations for the two unknown numbers, then solve the system.

1. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 34 vehicles with 83 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
2. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 27 vehicles with 65 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
3. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 20 vehicles with 55 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
4. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 22 vehicles with 47 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
5. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 20 vehicles with 42 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
6. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 50 vehicles with 125 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
7. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 45 vehicles with 115 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
8. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 20 vehicles with 45 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
9. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 38 vehicles with 79 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
10. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 56 vehicles with 159 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
11. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 79 vehicles with 200 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
12. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 59 vehicles with 137 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
13. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 62 vehicles with 177 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
14. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 84 vehicles with 213 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
15. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 135 vehicles with 331 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
16. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 66 vehicles with 179 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
17. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 117 vehicles with 252 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
18. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 29 vehicles with 76 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
19. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 130 vehicles with 273 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).
20. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 124 vehicles with 339 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).