An army camp of 200 men has enough food for 60 days. How long will the food last if the number of men in the camp is reduced to 160?

Correct answer

75

Explanation

Explanation Initial situation: 200 men have enough food for 60 days. Reduced situation: 160 men (40 fewer men than initially). Since there are fewer men, the food will last longer. To find out how long, we can set up a proportion: 200 men / 160 men = 60 days / x days Where x is the number of days the food will last with 160 men. Cross-multiplying and solving for x: 200x = 60 × 160 200x = 9600 x = 9600 ÷ 200 x = 75 So, the food will last 75 days if the number of men in the camp is reduced to 160.