Hofmeister ran against the current State Superintendent Janet Barresi and Brian Kelly.
Hofmeister is a former public school teacher and former member of the Oklahoma State Board of Education.
She is also the president of JLH Resources which runs a local franchise of Kumon, an after school reading program.
Barresi has been the State Superintendent since January 2011.
In the Democratic primary, John Cox and Freda Deskin, are headed to a runoff.
The runoff election is scheduled for August 26.
Hofmeister will face the winner of that race in the November general election.