Stacy is training for a triathlon and needs to swim a certain distance for today's workout. If she swims at the rec center pool, she will complete a 192-yard warmup and then swim laps in a lane that is 41 yards long. If Stacy swims at the indoor pool at her gym, she will complete a 214-yard warmup, plus a main set that consists of 40 yards per lap. If Stacy swims the correct number of laps, she can complete the same distance in either pool. How long will Stacy's workout be in total? How many laps will that take?
At the rec center pool, Stacy swims a warmup of 192 yards and then swims laps in a 41-yard lane.
Let x be the number of laps Stacy swims at the rec center pool.
Her total distance at the rec center pool is 192 + 41x yards.
At the indoor pool, Stacy swims a warmup of 214 yards and then swims a main set of 40 yards per lap.
Let y be the number of laps Stacy swims at the indoor pool.
Her total distance at the indoor pool is 214 + 40y yards.
Set the two distances equal to each other: 192 + 41x = 214 + 40y.
Subtract 192 and 40y from each side: 41x - 40y = 22.
The smallest pair of positive integers x and y that satisfy this equation is x = 10 and y = 10.
Stacy's workout consists of 214 yards for the warmup + 40 yards per lap for 10 laps = 214 + 40 * 10 = <<214+40*10=614>>614 yards.
Her workout takes 10 laps. Answer: \boxed{614, 10}.