A thin tube stretched across a street counts the number of pairs of wheels that pass over it. A vehicle classified as type A with two axles registers two counts. A vehicle classified as type B with seven axles registers seven counts. During an 11-hour period, a traffic counter registered 79 counts. How many type A vehicles and type B vehicles passed over the traffic counter? List all possible solutions.

1. 22 type A and 5 type B
2. 26 type A and 4 type B
3. 15 type A and 7 type B
4. 5 type A and 10 type B
5. 1 type A and 11 type B
6. 0 type A and 12 type B
7. 19 type A and 6 type B
8. 29 type A and 3 type B
9. 8 type A and 9 type B
10. 36 type A and 1 type B