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Balanced Fruit (Balance the Fruits in the UK version) is a puzzle in Professor Layton and the Last Specter.

Puzzle

US Version

Apples, oranges, lemons, and strawberries can be balanced as shown on the scales.

Given that all of the examples shown are balanced, can you figure out how many lemons are equal to the weight of one orange?

UK Version

Apples, oranges, lemons and strawberries can be balanced as shown on the scales.

Given that all of the examples shown are perfectly balanced, can you work out how many lemons are equal to the weight of one orange?

Hints




Click a Tab to reveal the Hint.

US Version

The key is finding one fruit that can be used as a reference for determining how much the other fruits weigh.

For starters, try figuring out how many strawberries equal the weight of one apple.

UK Version

You need to find one fruit that can be used as a reference for determining how much other fruits weigh.

For starters, try working out how many strawberries equal the weight of one apple.

US Version

Looking at the scales in the first example, you'll see that one orange equals two strawberries and one lemon.

With this in mind, try replacing the orange in the third example with two strawberries and one lemon.

This should simplify things a bit.

UK Version

From the first set of scales, we can see that 1 orange equals 1 lemon and 2 strawberries.

What happens if you replace the orange in the third set of scales with two strawberries and one lemon?

US Version

Did Hint 2 help you figure out that one apple equals the weight of five strawberries? With this in mind, take a look at the scales in example 2.

Replace the two oranges with the number of lemons and strawberries that equal the same weight, and then do the same for the apples with strawberries. This should help you figure out how many strawberries equal the weight of one lemon.

UK Version

Could you work out from Hint 2 that 1 apple is equal to 5 strawberries?

Bearing this in mind, look at the second set of scales. Replace the two oranges with lemons and strawberries, and replace the apples with strawberries.

Can you work out how many strawberries one lemon weighs?

US Version

Did Hint 3 help you figure out that one lemon equals two strawberries?

With that in mind, take a look at the scales in example 1. If you replace the two strawberries with one lemon, it should become clear how many lemons equal the weight of one orange.

UK Version

Could you work out from Hint 3 that 1 lemon equals 2 strawberries?

Look at the first set of scales. Here you can replace the two strawberries with one lemon.

See if you can finish the final step and work out how many lemons make up the weight of one orange.


Solution

Incorrect

Too bad!

US Version

Don't worry about the weight of an orange at first. Instead, focus on the other fruits.

UK Version

Don't worry about the weight of an orange at first. Focus on the other fruits instead.

Correct

US Version

Correct!

One orange weighs the same as two lemons. Also, one apple equals that weight of five strawberries, and one lemon equals the weight of two strawberries.

UK Version

Weight to go!

An orange has the same weight as 2 lemons. By the way, 1 apple equals the weight of 5 strawberries and 1 lemon equals the weight of 2 strawberries.

LS122S

A big thanks to http://professorlayton4walkthrough.blogspot.com

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