Can Vegetarian Diet Solve Food Problem?

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with increasing food prices and population, the danger of worldwide food war is increasing. Since, whatever best we try but we still are unable to solve the problem. The question i ask you here is can vegetarian diet solve the food problem. I feel that this maybe just the solution we are looking for because we can feed more people with the same amount of land. this is because the amount of plant biomass needed to feed an animal large enough to feed one person can easily feed around 10 persons. so the same amount of biomass can be used to feed 10 times more people.