Brain Teasers
A Day Out
Keith opened the door, hopped into the car and revved his engine. He was going to the small town exhibition.
He arrived at the exhibition not long after, and began wandering over to look at the different things.
At the gift shop he spent 50% of his overall money.
He then went on the Dodgems and spent 20% of the remaining money.
He entered a raffle which cost 50% of the remaining money.
He finally bought one hot dog which cost 10% of the remaining money.
He ended up with $22.50.
How much money did Keith start with, and how much did each thing cost?
He arrived at the exhibition not long after, and began wandering over to look at the different things.
At the gift shop he spent 50% of his overall money.
He then went on the Dodgems and spent 20% of the remaining money.
He entered a raffle which cost 50% of the remaining money.
He finally bought one hot dog which cost 10% of the remaining money.
He ended up with $22.50.
How much money did Keith start with, and how much did each thing cost?
Answer
You have to work backwards to get this right. All you know at this point is that Keith ended up with $22.50.The hot dog costs $2.50.
That would bring us up to $25.00. 10% of $25.00 equals $2.50 so if he spends $2.50 on the hot dog that brings us to $22.50, which is the starting point.
The raffle ticket was $25.00.
Before he buys the raffle ticket he has $50.00. He spends 50% of this, so then all you have to do is double $25.00 which makes $50.00.
The Dodgems were $12.50.
This means that before he went on the Dodgems he had $62.50. The Dodgems would have cost 20% of this, which is $12.50. That takes us to $50.00, which is where he was after the Dodgems.
The gifts cost $62.50.
Once again, you just have to multiply the money before the Dodgems by 2.
This means that he started with $125.
Hot Dog - $2.50
Raffle Ticket - $25.00
Dodgems - $12.50
Gifts - $62.50
Total - $125
Hide Answer Show Answer
What Next?
View a Similar Brain Teaser...
If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.
Solve a Puzzle
Comments hidden to avoid spoilers.
Follow Braingle!