Question

The commander of a stranded battalion with a strength of 400 soldiers has enough food

to last them for 12 days. A few kilometers away, the commander notices another smaller,

stranded group of 80 soldiers. The commander is worried that if the smaller group were to

join his group, their food supplies would run out faster. How many days would the food last

for 480 soldiers?

solve in copy

Answer 1

Since the food can last for 12 days, the soldiers are consuming 1/12 per day.

Since we have 400 soldiers, each soldier consumes = (1/12) / 400  
                                                                                    = 1/4800 per day


480 soldiers will consume = 1/4800 * 480 
                                          = 1/10 per day

The food will last for = 1/ (1/10) 

                                 = 10 days

Answer 2

Answer:

Step-by-step explanation:

Since the food can last for 12 days, the soldiers are consuming 1/12 per day.

Since we have 400 soldiers, each soldier consumes = (1/12) / 400

= 1/4800 per day

480 soldiers will consume = 1/4800 * 480

= 1/10 per day

The food will last for = 1/ (1/10)

= 10 days