I have just begun the IMP program for the school year for 8th graders. All of my friends and I a stuck on this IMP problem. It is one of our POW's or "Problem of the Week" We have started POW J: A Camel Messenger.

It states:

"Dory is a fictitious camel who lives on bananas. She one banana every mile she walks. She can carry at the most 1000 bananas at a time. Dory is being sent to deliver a message. The trip will take her 1000 miles across the desert. She needs to get there, deliver her message, and then return home. She knows that there are no bananas to be found along the route in either direction, but she can also know that she can leave banans safely at any place along her route."

Then it asks:

"What is the minimum number of bananas that Dory needs to have at the start of her journey to reach her destination and return only using those bananas?"

Our teacher says that we can figure it out using the formula. She says that the formula contain one or more of the following tools to solve it: sigmas, square roots, intigers, fractions, dectimals, factorials, logs (half of us don't even know what logs are) and the order of operations (PEMDAS)

Could you help us find a formula?

J.T.