Quinones opened the scoring in the ninth minute at the Estadio Azteca in Mexico City after capitalising on the poor control of the South Africa defender Sphephelo Sithole.
The 29-year-old slotted the ball past the South Africa goalkeeper Ronwen Williams and raced gleefully to the sidelines to celebrate with Mexico's substitutes as well as his teammates on the field. South Africa vs Mexico full-time
Just after the pause, Sithole's day got worse when he was sent off for a professional foul on Brian Gutierrez.
Mexico eventually made their numerical advantage count mid way through the second half.
Mexico and South Africa kick off first 48-team football World Cup
Roberto Alvarado surged down the right wing, crossed the ball and Raul Jimenez ghosted in on the left to head the ball past Williams to make it 2-0
Ten minutes from time, South Africa lost a second player. Themba Zwane was shown a straight red for elbowing Alvarado.
And in stoppage-time, Mexico were reduced to 10 men when Cesar Montes hacked down Khuliso Mudau on one of South Africa's rare forays into the opposition half.
Shakira and Burna Boy
Before the match, Shakira and Burna Boy performed Dai Dai the official song of the tournament.
J Balvin and Italian tenor Andrea Bocelli were among the other performers to feature during a song and dance celebration of Mexican culture and history.
Disturbances in Mexico City
While there was a festive atmosphere inside the stadium, there were chaotic scenes in the centre of Mexico City where thousands of fans pushed and shoved as they attempted to enter the official World Cup fan zone shortly before kick-off.
Access to the fan zone in Zocala plaza was hampered by metal barriers erected in recent days to prevent protesting teachers reaching the area.
Football history: Jules Rimet, the man behind the World Cup plan
"Stop pushing and shoving, there are children here, you're like animals," a city official shouted through a megaphone as he tried to control access to the venue where the opening game was to be shown on a giant screen.
Some fans threw water bottles and hurled insults at police as they chanted songs about the Mexican team.
"It's crazy," said Javier Maciel, a 25-year-old fan. "There could have been better organisation."
In the second game in Group A, Czech Republic take on South Korea at the Estadio Akron in Guadalajara.


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