If you would like to know how many days will the contest run, you can calculate this using the following steps:
x ... the number of days
every day: 2 * $1,000 = $2,000
$15,000 - $2,000 * x = $3,000
15,000 - 2,000 * x = 3,000
15,000 - 3,000 = 2,000 * x
12,000 = 2,000 * x
x = 12,000 / 2,000
x = 6 days
The correct result would be: The contest will run for 6 days until they have at least $3,000 left to award as a grand prize.