# Mistake at the Apple Farm Puzzle - Solution

### The Puzzle:

Someone has mixed up the apples. Read carefully what has happened. Can you find a way to help solve the problem.

* There are 10 baskets containing apples.

* There are various amounts of apples in each basket ranging from 10 to 20.

* 9 of the baskets contain apples weighing 4 ounces each.

* 1 of the baskets contains apples weighing 5 ounces each.

* All the apples look the same.

* The equipment you have is a set of scales and an empty basket.

* It is late and the truck is waiting to take the apples to market. You only have time to make one measurement using the scales.

* There are 10 baskets containing apples.

* There are various amounts of apples in each basket ranging from 10 to 20.

* 9 of the baskets contain apples weighing 4 ounces each.

* 1 of the baskets contains apples weighing 5 ounces each.

* All the apples look the same.

* The equipment you have is a set of scales and an empty basket.

* It is late and the truck is waiting to take the apples to market. You only have time to make one measurement using the scales.

### Our Solution:

It could work something like this:

Number Each Basket from 1 to 10.

Select 1 Apple from basket 1

Select 2 Apples from basket 2

etc..

You will now have (1+2+...+10) = 55 Apples

If they all weighed 4 oz, then the scales would show 55x4=220 oz.

But if the weight was, say, 225 oz, then you would know that there 5 apples that weigh an extra ounce, so the basket with the heavier apples must be basket 5.

Number Each Basket from 1 to 10.

Select 1 Apple from basket 1

Select 2 Apples from basket 2

etc..

You will now have (1+2+...+10) = 55 Apples

If they all weighed 4 oz, then the scales would show 55x4=220 oz.

But if the weight was, say, 225 oz, then you would know that there 5 apples that weigh an extra ounce, so the basket with the heavier apples must be basket 5.

*See this puzzle without solution*

*Discuss this puzzle at the Math is Fun Forum*