### 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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