Question

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?

Answer 1

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.