Question

In a survey of 500 farmers, 75% were farming crops, 20% were farming crops as well as vegetables, and 10% were not involved in farming. How many farmers were involved in farming vegetables?

a) 200
b) 350
c) 250
d) 150

Answer 1

Out of 500 farmers, 100 are involved in farming both crops and vegetables. This count of farmers involved in some capacity in vegetable farming is found by taking the 20% who farm both. There's no need to add them separately to the 75% who farm crops since they are included within that percentage.

Step-by-step explanation:

The question asks us to determine how many farmers were involved in farming vegetables from different percentages provided in the survey of 500 farmers.

• 75% were farming crops which is equivalent to 375 farmers (since 75% of 500 is 375).
• 20% were farming both crops and vegetables which is equivalent to 100 farmers.
• 10% were not involved in farming, meaning 50 farmers (since 10% of 500 is 50) were not farming at all.

Since the 20% of farmers farming both crops and vegetables are included in the 75% of farmers farming crops, we do not need to add them separately. Therefore, the number of farmers involved exclusively in farming vegetables can be determined by subtracting the 100 farmers farming both from the 375 farmers farming just crops.

The answer to the question is that there are 100 farmers involved in farming both crops and vegetables. Since the question did not distinguish between those exclusively farming vegetables and those farming both, these 100 farmers are the ones involved in vegetable farming in some capacity.