ELI5. This math problem

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I saw this on discord and I feel like an idiot but I’m so confused.

*”Question for you guys If I borrow $50 from my mom and $50 from my dad to purchase an object worth $97. Since I would have $3 change I would give one to my mom and one to my dad and keep one my self
So I still owe my mom $49 and my dad $49 that means I owe $98 counting the one I have makes is $99 where did the other $1 go?”*

In: Mathematics

12 Answers

Anonymous 0 Comments

The dollar didn’t “go” anywhere. The next to last Line incorrectly says you “have” 99 dollars. You don’t have 99 dollars, you have 1 dollar. You owe 98 dollars still.

Consider thst if you split the 3rd dollar into 50 cents, then you would only owe 97 and it would be equal across parents.

Anonymous 0 Comments

IIRC, the logic error is that you’re changing from tracking the money to tracking what you owe and then mixing up the different terms into one calculation, which aren’t the same thing. I don’t recall the technical jargon.

I do remember how to solve it: count the *dollars alone* from the end backward. Mom has a dollar, Dad has a dollar, I have a dollar. The other $97 are at the store.