Algebra Difficult

100 loaves of bread must be divided among five workers. Each worker in line must get more than the previous: the same amount more in each case (an arithmetical progression). And the first two workers shall get seven times less than the three others. How many loaves (including fractions of a loaf!) does each worker get?

Suppose a man had some amount in his wallet, he knows a bank that doubles the money immediately but the fee at the entrance of the bank is Rs 1000 and Rs 1000 as the exit fee. The man visited 3 branches of the same bank and when he left the last bank he had Rs 0 in his wallet. Find out what was the initial amount?

A 3 digit number is such that its tens digit is equal to the product of the other two digits which are prime. Also, the difference between its reverse and itself is 99. What is the sum of the three digits?

A rajah, in his will, left his daughters a certain number of pearls with the instructions to divide them as follows: The oldest daughter was to receive 1 pearl plus 1/7 of what was left. The next eldest daughter was to receive 2 pearls plus 1/7 of those left. The next eldest daughter was to receive 3 pearls plus 1/7 of what was left, and so on in the same manner. The youngest daughter received what was left after all the other divisions. At first, the youngest daughter thought the distribution was unfair, but after careful calculations she concluded that all daughters would receive the same number of pearls. How many pearls and how many daughters were there in all?

Mr. John has 25 horses, and he wants to pick the fastest 3 horses out of those 25. He has only 5 tracks, which means only 5 horses can run at a time. He doesn't even have a stopwatch. What is the minimum number of races required to find the 3 fastest horses?

In a town 5 percent of 10000 inhabitants are one legged and half of the others go barefoot. What is the least number of shoes needed in the town?

A dust bunny gathers dust at a rate of 11% per week. The dust bunny originally weighs 0.7. Write a function that models the weight of the dust bunny at the beginning of its life. Use x for the number of weeks and f(x) for the weight of the dust bunny.