the missing dollar/[place desired currency here]

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guys, help me out here. my classmate sent me this text message. it's actually a brain teaser and i hate analysis. my sister said that she got the answer to this teaser but she just can't explain it to me in a way that i can understand it. anyway here's how it goes: you wanted to buy a $97 shirt but you didn't have the money so you asked your mom for $50 and your dad for $50 too. so you had $50 + $50= $100. You bought that shirt using the money that your parents lend you. and the cashier gave you your change which is $3 ($100 -$97= $3). Now you gave the dollar to your mom so that you now owe her $49 ($50-$1=$49). Same to your dad.. You now owe him $49. If you add the amount that you owe to your parents it'll be: $49 + $49= $98. Remember that from the $3 that was the change for the shirt that you bought, you gave $2 to both your parents. So you now have a dollar in hand ($3-$2=$1). If you add the total amount that you owe to your parents and the dollar that you have in hand, it'll be: $98 + $1=$99. Originally you had $100. The question now is, where is the missing dollar? My sister told me that the calculation was wrong. Even if i studied accounting, i still can't figure this out. Please help me out here.