Word Problem 4 & 5
Problem 4: A garrison of 1500 men has provision for 6 weeks. At the end of two weeks, 450 men leave. How long after this will the food last?
In this math problem solving we have ,
Food Provision is sufficient for ;
Men left after two weeks;
Men left in the camp after four weeks;
So we are left with days;
Now data can be arranged in a way;
i-e if the number of men decreases, for more days will be the food sufficient! So, this is a problem of inverse proportion;
solve for ‘x’;
So, the provision will go for 40 days onward.
Problem 5: A fort is provisioned for 75 days. After 25 days a reinforcement of 500 men arrives and the food then lasts only for 40 days. How many men were there in the fort ?
a) 2000 b) 1000 c) 1500 d) none
In this math problem solving we suppose in the beginning that there were ‘y’ men. So, after 25 days, after arrival of 500 men, there will be total men ‘y+500’, and days left will be 50 . We arrange this data systematically as below;