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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