Just across the road from Elmayer is another famous dancing institution: the Spanish Riding School, home of the dancing horses.
Mr Goodway said that the council did not intend to close the city's riding school, which had been feared.
"We will not be bringing down the shutters on the riding school on the 31st of March, " he insisted.
BBC: Cardiff council tax freeze plan amid ?22m of budget cuts
Instead, it was working to find an alternative operator to run the riding school on its 30-acre site in Pontcanna.
Staff at the council-run Cardiff Riding School say they have been told the site is to close within three months.
Earlier, the full council meeting was suspended for 15 minutes while members were given a chance to talk to supporters of the riding school protesting outside.
BBC: Cardiff council tax freeze plan amid ?22m of budget cuts
But Plaid Cymru group leader Councillor Neil McEvoy said the proposal to close the riding school was included on a list of budget savings on the council's own website.
Supporters of the riding school, which has 50 horses on the 30-acre site, protested outside a council meeting last Thursday, which led to it being halted for 15 minutes to meet the demonstrators.
Councillor Russell Goodway, who holds the finance portfolio in the Cardiff cabinet, told the full council meeting that it was working to find an alternative operator to run the riding school on its 30-acre site in Pontcanna.
BBC: Cardiff council tax freeze plan amid ?22m of budget cuts
While riding the school bus in high school, Maggie Kozel had an epiphany.
Dr Elizabeth Barton, an intensive care registrar at Swansea's Morriston hospital, said she started riding at the school when she was working at the nearby University Hospital of Wales.
For a moment the idealist in me sees cloth diapers, homemade vegetarian meals, riding bikes to school, environmental and international education and I think it would be wonderful, even fun.
The school offers riding for children and adults and specialises in providing riding for disabled people.
Opened in 1970, the school offers riding for children and adults and specialises in providing riding for disabled people.
Consider that Leach never played football (except for one, bench-riding year in high school) and that he wears Hawaiian shirts and flipflops .
Equitation in the French tradition is a school of horseback riding that emphasizes harmonious relations between humans and horses.
The ring was discovered not because any of the students reported it, but because the police caught a teenager from the school after he crashed while joy-riding a stolen car. (This is quite the delinquent school.) When police went through his phone, they found a nude photo of a teenage girl and launched an investigation into how it got there.
FORBES: Another Day, Another Group of Teen Girls Blackmailed With Nude Photos
The Dallas Morning News said Kyle grew up in Texas and spent much of his time riding horses and participating on the school rodeo team.
School sports and bike riding are among their physical activities.
East Riding Council had proposed to shut Riverside Special School in Goole and replace it with better facilities 24 miles away in Hessle.
Paul Butler, inclusion and access manager for East Riding of Yorkshire Council, said Dunswell Primary School and Gembling Primary School were the first of a "handful" of schools that could be closed.
Thirty staff at the riding centre claim they were sent letters telling them that the school would close on 1 April.
BBC: Cardiff council tax freeze plan amid ?22m of budget cuts
Riding the froth of beer and grub sales, McMenamins converted a public elementary school and a 1914 dancehall in Portland in 1997.
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