Brain Teasers
Money Product
Four people combined their money and have a total of $30. Assume that only one person is lying. What is the product of Allie and John's dollar amount?
Sebastian: I don't have any money.
John: Jessica has less money than Sebastian.
Jessica: I have $15 more than John.
Allie: I have one fourth of what Jessica has.
Sebastian: I don't have any money.
John: Jessica has less money than Sebastian.
Jessica: I have $15 more than John.
Allie: I have one fourth of what Jessica has.
Answer
John is definitely the liar. If Sebastian would have more than Jessica, he would have more than $15 more than John. Jessica would have exactly $15 more than John. Combined that would be more than $30.Jo + Al + Je = 30
Al = Je/4
Jo = Je - 15
Sebastian is not included in the equation because he has $0.
Combine everything like terms:
Je - 15 + (Je/4) + Je = 30
Do the math, and you will get 20.
So that means that Jessica has $20, so John has $5, and Allie has $5.
John's dollar amount times Allie's is 25.
Answer: 25
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Comments
that was really cool teaser!!!...1st to post!!!
that was really cool teaser!!!...1st to post!!!
I had it, but I was thinking sum instead of product, which confused me greatly when I got ten and the answer was 25
Very fun... nicely done.
I don't do a lot of math ones, but I liked this one. Good job!
easy but nice
good teaser
This one was fun, yet challenging. It is definitely going on my favorites!
its easy to find the liar but the amount was a bit more tricky
but fun
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