# GamingProfessor Layton - Puzzle 42 - WTF?

#### dirtycarrot

##### Well-Known Member
OP
Newcomer
I'm having trouble understanding the logic behind this puzzle - even in the hint, it says the camera price is \$290, yet the answer for the puzzle is
95
This all makes zero sense to me!

#### MaHe

##### one lazy schmo
Member
Well, I'm talking on top of my head now, but here goes:

The price of case: x
The price of camera: x + \$300
The camera price is \$300 higher than the price of the case, therefore, altogether: x + x + \$300 = \$310

Now, some simple maths:

2x + \$300 = \$310
2x = \$310 - \$300
2x = \$10 / :2

x = \$5

The price of the case equals x, therefore it costs five dollars. You paid with a \$100 banknote and must receive \$95 of change.

EDIT: I never bought any hints here, so I wouldn't know. But the price of the camera is definitely \$305.

#### dib

##### Well-Known Member
Member
Step 1: you know it's not going to be \$10, because that would be too easy and then it wouldn't be a puzzle.

Step 2: Assume that the case were \$10. The wording says "the camera costs \$300 more than the case itself". So that would make the camera alone \$310, so camera + case would be \$320.

Step 3: Since that's clearly too high, your next bet would be to reduce the price of the case as MaHe pointed out. Plug in \$5, now the camera becomes \$5+\$300=\$305. Add the case and you've got your \$310.

Step 4: The answer is how much change, so subtract that \$5 from \$100. Pretty easy overall.

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