Shenjia is sitting for a Math contest consisting of $50$ questions. For every question she answers correctly, she earns $2$ points. For every question she answers wrongly, she loses $1$ point. Shenjia scored $82$ points and declared, "I answered $32$ of the $50$ questions correctly!"  Is her statement correct? If not, how many questions did she answer correctly? 
Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems