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?

First restaurant price: 29 + 6l = x

x = final cost

l = kilo of lobster

Second restaurant price: 41 + 3l = x

We want them to be the same price, so: 29 + 6l = 41 + 3l

Subtract 3l from each side

29 + 3l = 41

Subtract 29 from both sides

3l = 12

Divide both sides by 3

l = 4

So, if she buys 4 kilograms of lobster from either place, it will cost the same.

It would cost $53.

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation: