Final answer:
To solve the problem, use proportions to determine the number of soldiers that need to be transferred to make the food last for 40 days.
Explanation:
To solve this problem, we can use the concept of proportions. Initially, there is food for 200 soldiers for 30 days. This means 200 x 30 = 6000 soldier-days of food supply. To make the food last for 40 days, we need to find out how many soldiers to transfer. Let's represent the number of soldiers to transfer as 'x.'
Using the proportion: 200/30 = (200-x)/40, cross multiplying gives us 200 x 40 = 30(200-x). Solving this equation gives x = 100 soldiers need to be transferred to make the food last for 40 days.
Learn more about Proportions and solving word problems here:
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