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A local hamburger shop sold a combined total of 816 hamburgers and cheeseburgers on Monday. There were 66 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday? Identify your variables. Write an equation, then solve for the answer. _______________hamburgers

Respuesta :

Answer:

375 hamburgers

Step-by-step explanation:

The variables are the number of hamburgers and the number of cheeseburgers.

Let x represent the number of hamburgers sold on Monday and y represent the number of cheeseburgers sold on Monday.

Therefore:

x+y=816 (I)

The number of cheeseburgers is the number of hamburgers plus 66:

y=x+66 (II)

You have to solve the system of equation using a solving method, for example substitution:

Replacing (II) in (I) and solving for x:

x+x+66=816

2x+66=816

Subtracting 66 both sides:

2x=816-66

2x=750

Dividing both sides by 2:

x=375

Replacing the value of x in (II):

y=375+66

y=441

Answer:cheese = 376

hamburger= 440

Step-by-explanation:

Let h be hamburgers and c be cheese

h + c = 816

h = c + 64

Therefore, c+64 + c= 816

2c = 816-64= 752

c = 376

h = 376+64= 440

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