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Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Lamar is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $35 for the meal, plus $4 per kilogram for the lobster he picks. At the second restaurant, Lamar would pay $3 per kilogram for the lobster, in addition to $44 for the meal. Lamar realizes that, in theory, dinner at both restaurants could cost the same amount if the lobster had a certain weight. How much would Lamar pay for his dinner? What is the weight?


Dinner would cost $__ at either restaurant if Lamar's lobster weighed __ kilograms.

Sagot :

genan

Answer:

The weight : 9 pound

Lamar would pay for his dinner : $71

Step-by-step explanation:

Let x represent the weight of the lobster

the cost of the dinner at restaurant 1 is 4x + 35  

the cost of the dinner at restaurant 2 is 3x + 44

Now ,we have to solve the equation :  

4x + 35 = 3x + 44

-3x - 35   -3x  - 35    -> trying to get all x terms on one side. other just #

4x - 3x = 44 - 35

⇔ 1x = 9

⇔ x = 9

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

the price = 4×(9)+35 = 71

               = 3×(9)+44 = 71.

Hope this helps, Let me know if you have any question/concerns !

Have a nice rest of your day :)

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