Missing dollar problem [duplicate]

arithmetic puzzle problem-solving

This sounds silly but I saw this and I couldn't figure it out so I thought you could help. The below is what I saw.

You see a top you want to buy for $\$97$, but you don't have any money so you borrow $\$50$ from your mom and $\$50$ from your dad. You buy the top and have $\$3$ change, you give your mom $\$1$,your dad $\$1$, and keep $\$1$ for yourself. You now owe your mom $\$49$ and your dad $\$49$.

$\$49 + \$49 = \$98$ and you kept $\$1$. Where is the missing $\$1$?


Solution 1:

You owe them 98 dollars, 97 of which were spent on the top and 1 of which you kept. There is no missing dollar.

Solution 2:

top = 97

from each parent: 48.50

48.50 + 48.50 = 97

remainder from each parent = 1.50 x 2 = 3.00

3.00 - (1.00 to each parent = 2) - (1.00 for yourself = 1) = 0

owed to each parent: 48.50 [97]

giving one dollar to each parent: 49.50 [99]

check your pocket for the remaining dollar. [100]

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