The two teams combined for 39 hits, employing a total of 13 pitchers, who gave up 6 homers and 10 doubles.
Rios, one of last season's most under-appreciated stars, batted .284 with 21 homers, 88 RBI and 34 stolen bases in his first full season with the White Sox following a late-season trade from Toronto in 2009.
Milwaukee bats were booming as the Brewers banged out 25 hits against defending N Central division champion Cincinnati in a 15-2 plundering.
Right fielder Brandon Boggs, hoping to make the final roster, homered, tripled and singled twice in five at-bats, scoring twice and driving in four runs to spearhead the onslaught.
A graduate of Georgia Tech, Boogs has spent considerable time in the minors but played 101 games with the Rangers in 2008, knocking 8 homers and 41 RBI. His .226 batting average and 93 strikeouts in 283 at-bats earned him a return trip to the minors. Milwaukee picked up Boggs, from Texas, in the off-season following the 2010 campaign.