man thinking

Dr. Johnson went to the shop and purchased 4 items.
Three of the items cost:
$1.50
$3.00
$4.00
Very curiously, the 4 prices added to the same number as he got when he multiplied the 4 prices together.
What was the price of the 4th item?

See the answer

Answer: 

$0.50.

Let’s call the missing price P, then we have:

1.50 + 3.00 + 4.00 + P = 1.50 x 3.00 x 4.00 x P

8.50 + P = 18.00 x P

8.50 = 18.00 x P – P

8.50 = 17.00 x P

8.50 ÷ 17.00 = P

P = 0.50.

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