# Thread: Good at word problems?

1. ## Good at word problems?

If the recipe for a cake to be baked in a rectangular pan calls for 3 eggs and the baker doubles each dimension of the pan, how many eggs will be required, assuming that the baker wants to fill the new pan?

And...

Bobo was walking down the street one day, minding his own business, when he found himself at the edge of a huge desert. The owner of a huge plantation offered Bobo an opportunity to make a lot of money transporting bananas across the desert.

Bobo wasn't doing anything that day, so he agreed to transport the entire year's banana harvest of three thousand bananas across the 1000 miles of burning sand. The more bananas he could get across the desert, the more he would make.

There was only one problem. His only means of transporting the bananas was a trusty but hungry camel named Koko. Koko could carry only a thousand bananas at a time, but she had to eat one banana for each mile she traveled.

Please help Bobo by telling him how he can get the maximum number of bananas across the desert.

2. Originally Posted by A Beautiful Mind
If the recipe for a cake to be baked in a rectangular pan calls for 3 eggs and the baker doubles each dimension of the pan, how many eggs will be required, assuming that the baker wants to fill the new pan?
dimensions are L and W where $L\times W = A$

double these dimensions gives 2L and 2W and so

$2L \times 2W = 2\times 2 \times L \times W = 4LW = 4A$

So if A implies 3 eggs then 4A will imply 4x3eggs = 12 eggs

In general multiply number of eggs by 4 each time you double the dimensions.

3. ## Word problem

Hello A Beautiful Mind
Originally Posted by A Beautiful Mind
If the recipe for a cake to be baked in a rectangular pan calls for 3 eggs and the baker doubles each dimension of the pan, how many eggs will be required, assuming that the baker wants to fill the new pan?
If all the dimensions of the pan are doubled (including the depth), the volume of the new pan will be 2x2x2 = 8 times bigger than the original. So the baker will need 24 eggs.

4. Bobo was walking down the street one day, minding his own business, when he found himself at the edge of a huge desert. The owner of a huge plantation offered Bobo an opportunity to make a lot of money transporting bananas across the desert.

Bobo wasn't doing anything that day, so he agreed to transport the entire year's banana harvest of three thousand bananas across the 1000 miles of burning sand. The more bananas he could get across the desert, the more he would make.

There was only one problem. His only means of transporting the bananas was a trusty but hungry camel named Koko. Koko could carry only a thousand bananas at a time, but she had to eat one banana for each mile she traveled.

Please help Bobo by telling him how he can get the maximum number of bananas across the desert.

It is just for those who are interested to know the answer
I got it from 3000 bananas and 1000 miles and a camel? - Yahoo! Answers

credit goes to that person

i'll divide my journey into 3 parts :
1] the first 200km,
2] the next 333 1/3 km,
3] and the rest until i reach city B.

carrying 1000, camel eats 200 from A to B, dumps 600 bananas, and eats another 200 to collect other bananas.
what's left after first part of my journey
= (1000 - 2*200) + (1000 - 2*200) + (1000 - 1*200)
= 3000 - 1000
= 2000
in the duration of the last trip, i only lost 200 bananas since my camel need not go back to collect bananas at city A.

for the second part of my journey
= [1000 - 2*(333 1/3)] + [1000 - 1*(333 1/3)]
= 2000 - 1000
= 1000 bananas are left at a place [200 + 333 1/3] km from city A.

so now i have 1000 bananas for my camel to carry to city B, a place 466 2/3 km away from my current position.
it'll eat 466 2/3 bananas in our final journey, leaving
= 1000 - 466 2/3
= 533 1/3 bananas when my camel and i reach city B.