In its mission statement, the school describes itself as a "high school with a Christian character that strives to set high standards, both curricular and extra-curricular".
"Ben Viljoen High School wants to be a safe haven for happy, proud and loyal children who are taught by well-equipped staff and led to responsible maturity."
Smith said: "We are in the process of reaching a sensible solution. We are handling this in conjunction with the department and so far, the reaction has been positive. For now, we are not commenting beyond our official statement."
The school received a barrage of criticism on its Facebook page and apparent screenshots of the remark were widely distributed on social media platforms.
Limpopo Department of Education spokesperson Tidimalo Chuene said the department would comment in due course.
The comment will be added once received.