Question

Alan is comparing the cost of a fresh lobster dinner at two different restaurants. The first

restaurant charges $14 for the meal, plus $4 per pound for the lobster he picks. At the second restaurant, Alan would pay $3 per pound for the lobster, in addition to $43 for the meal. Alan realizes that, in theory, dinner at both restaurants could cost the same amount if the lobster had a certain weight. What is the weight? How much would Alan pay for his dinner?

Answer 1

Good evening ,

Answer:

The weight : 29 pound

Alan would pay for his dinner : $130

Explanation:

Let x represent the weight of the lobster

the cost of the dinner at restaurant 1 is 4x + 14

the cost of the dinner at restaurant 2 is 3x + 43

Now ,we have to solve the equation : 4x + 14 = 3x + 43

4x + 14 = 3x + 43

⇔ x = 43 - 14

⇔ x = 29

In this case Alan would pay the same amount for his dinner at any restaurant:

the price = 4×(29)+14 = 130

= 3×(29)+43 = 130.

:)