Safely prompt for yes/no with cin

Personally I'd go with:

do
{
    cout << "Were you admitted? [y/n]" << endl;
    cin >> type;
}
while( !cin.fail() && type!='y' && type!='n' );

Personally I'd make the prompt a separate function, this makes it putting the prompt output and reading a response a logical expression to put in a while loop.

Testing whether the read was successful is critical to the correct functioning of the code.

I'd also prefer to use std::getline to get a line at a time as it helps reduce errors caused by reading the rest of a half read line that was the result of a partial read to earlier user responses.

bool PromptForChar( const char* prompt, char& readch )
{
    std::string tmp;
    std::cout << prompt << std::endl;
    if (std::getline(std::cin, tmp))
    {
        // Only accept single character input
        if (tmp.length() == 1)
        {
            readch = tmp[0];
        }
        else
        {
            // For most input, char zero is an appropriate sentinel
            readch = '\0';
        }
        return true;
    }
    return false;
}

void f()
{
    char type = '\0';

    while( PromptForChar( "Were you admitted? [y/n]", type ) )
    {
        if (type == 'y' || type == 'n')
        {
            // Process response
            break;
        }
    }
}