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The Greens said that since their bill was $21.11, each cheeseburger must cost $2.49 and each

order of medium fries must cost $2.87 each. Are they correct? Justify your answer.

User Sventimir
by
8.1k points

1 Answer

4 votes

Answer: they are not correct

Explanation:

To determine if they are correct, we would have to solve the equation from the previous question. Recall;

c represent the cost of a cheeseburger.

f represent the cost of medium fries.

The Browns bought 4 cheeseburgers and 3 medium fries for $16.53. It means that

4c + 3f = 16.53- - - - - - - -1

The Greens bought 5

cheeseburgers and 4 medium fries for $21.11. It means that

5c + 4f = 21.11- - - - - - - -2

Multiplying equation 1 by 5 and equation 2 by 4, it becomes

20c + 15f = 82.65

20c + 16f = 84.44

Subtracting, it becomes

- f = - 1.79

The negative sign cancels out

f = 1.79

Substituting f = 1.79 into equation 1, it becomes

4c + 3 × 1.79 = 16.53

4c + 5.37 = 16.53

4c = 16.53 - 5.37

4c = 11.16

c = 11.16/4

c = $2.79

Each cheeseburger costs $2.79 and each fry costs $1.79

Therefore, they are not correct

User Syed Qasim Ahmed
by
8.3k points
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