She was with an associate and her pet dog and her car was impounded.
She called a taxi, was told the fare to Rotorua would be $155, and agreed to pay knowing she couldn't cover the bill.
Arriving in Rotorua about 3.30pm, Houkamau asked the driver to go to the Selwyn Heights shops as she needed to get money from an ATM to pay. Houkamau, her associate and the dog got out of the taxi and walked around the back of the shops, making no attempt to pay.
Police were called and she was found a short time later. She told police she knew she couldn't pay and shouldn't have arranged the taxi.
Judge Jocelyn Munro said Houkamau had mental health issues and a number of previous convictions for dishonesty.
The judge said there was no electronically monitored sentence available and a short term of imprisonment was a realistic option.
Houkamau was sentenced to six weeks' jail and ordered to pay reparation of $155 within three months.
Earlier this year, the court had ordered Houkamau to pay reparation of $448.66 for petrol stolen in seven drive-offs.
She had previously pleaded guilty to seven charges of stealing petrol between September 9 last year and January 23. On that occasion she was also banned from driving for a year.