Haley is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $29 for the meal, plus $6 per kilogram for the lobster she picks. At the second restaurant, Haley would pay $3 per kilogram for the lobster, in addition to $41 for the meal. Haley realizes that, in theory, dinner at both restaurants could cost the same amount if the lobster had a certain weight. How much would Haley pay for her dinner? What is the weight?