# Can you solve this math riddle?

Three women friends went on a vacation in the Caribbean. To save money, they would share a hotel room.
The daily rate for the hotel room is \$300.
Each woman paid \$100, making up the \$300.
But the hotel manager decided to give the women a discount and charged only \$250 for the room. He told a clerk to return \$50 to the three women.
The clerk pocketed \$20 for himself, and gave the remaining \$30 back to the three women.
Each woman got \$10 back. Therefore, each woman actually paid \$90 (100-10) to the hotel.
\$90 x 3 = \$270
\$270 + the clerk’s \$20 = \$290
But the women originally gave the hotel \$300.

## Stumped?

Scroll down for the solution!

You’re stumped because you’ve been misled by how the question was posed to you.
Instead of looking at it as the three ladies actually paying \$270, plus the \$20 pocketed by the hotel clerk, thus equaling \$290, which means \$10 are uncounted for, the correct way to look at it is to start with the facts that we’ve been told:

• Fact #1: Each woman initially paid \$100 each.
• Fact #2: Each woman got \$10 back.
• That means each woman actually paid \$90 each.
• In other words, altogether the women paid the hotel \$270, not \$300.
• Fact #3: The hotel only charged them for and kept \$250.
• Fact #4: The hotel clerk stole \$20.
• \$20 + \$250 = \$270.
• There never was any “remaining \$10”!

Another way to look at it is to look at what happened to the \$300 that the 3 women originally paid the hotel:

• Hotel kept \$250.
• Clerk stole \$20.
• Women got \$30 back.
• 250+20+30 = \$300.
• Once again, there’s no “remaining \$10”!

~Eowyn

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Guest

It took me a few minutes, but I knew it was not really 300, but had to figure off of the 270.. yea me. 😀

Guest

Tell you what, I failed HS Math, and never did repeat it before graduation. Yet when I wrote the BC Dept of Labour Trade Qualification Test in Carpentry [3.0 hrs long!], I passed the first tie. Only 1 in 3 does, as it’s the MOST difficult in Canada, and w/the highest ‘Fail’ mark [I think 80%]. But I missed this one!

Guest
igor

but i’ve been to 57 states said obama.

Guest
Laserboy

Once There was an Arab man with three sons. Upon his death his will was read. His oldest son was to recieve half of his father’s camels The middle son was to recieve 1 third of his camels. The youngest son was to recieve 1 ninth of his camels. The man left the three sons 17 camels to divide in these proportions. Alsa, the sons could not come up with a way to divide the camels as their father wished. So they went to their father’s oldest and wisest friend and explained their delimma to him. The old friend said… Read more »