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What is highest number of apples you can get to Bananaville?

+1 vote
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You have been given the task of transporting 3,000 apples 1,000 miles from Appleland to Bananaville.
Your truck can carry 1,000 apples at a time.
Every time you travel a mile towards Bananaville you must pay a tax of 1 apple
but you pay nothing when going in the other direction (towards Appleland).

What is highest number of apples you can get to Bananaville?

posted May 2, 2018 by anonymous

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2 Answers

0 votes

Zero. If Appleville and Bananaville are 1000 miles apart, and the truck can carry 1000 apples at a time, and you have to pay taxes for an apple a mile, it's nothing.

answer May 14, 2018 by anonymous
Is this correct? Or did I do the math wrong?
0 votes

833 apples.

Step one: First you want to make 3 trips of 1,000 apples 333 miles. You will be left with 2,001 apples and 667 miles to go.
Step two: Next you want to take 2 trips of 1,000 apples 500 miles. You will be left with 1,000 apples and 167 miles to go (you have to leave an apple behind).
Step three: Finally, you travel the last 167 miles with one load of 1,000 apples and are left with 833 apples in Bananaville.

answer Sep 29, 2022 by Varun Kumar



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