A village economy grows cucumbers and provides medical services. For each cucumber harvested, coconut farmers need to eat half a cucumber and receive 45 minutes of medical attention. For every four hours of medical service provided, doctors in the village need to eat a cucumber and receive half an hour of medical attention. The village economy ultimately exports 100 cucumbers, but imports 50 hours of medical services.

1-Represent this economy as a system of equations.

2-How many cucumbers total are grown on the island? How many hours of medical service are provided by doctors on the island? (Justify your answer mathematically.)

3-How many total cucumbers are consumed on the village? (Justify your answer mathematically.)

4-How many total hours of medical attention do the villagers receive? (Justify your answer mathematically.)