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Tamara sells her ice cream in 43 ounce cartons. One Friday she sold 11 cartons filled with 371 ounces of ice cream. How many large and small cartons did she sell?

Respuesta :

Anne092300
She sold L large cartons and S small cartons 
L + S = 11 
43L + 26S = 371 

43L + 43S = 473 
-43L - 26S = -371 
17S = 102 
S = 6 
5 large cartons and 6 small cartons

Answer:

The answer is that we sold 5 large cartons and 6 small cartons

Explanation:

Hi!

Let's solve this!

First we will define the variables:

x: large cartons

y: small cartons.

Then we will raise the equations:

x + y = 11

43 * x + 26*y = 371

Now we clear in the first equation x:

x = 11-y

We replace in the second equation.

43 * (11-y) + 26y = 371

473-43y + 26y = 371

We cleared y

-17y = -102

y = (- 102) / (- 17)

y = 6

We replace in the equation that we clear x:

x = 11-6

x = 5

The answer is that we sold 5 large cartons and 6 small cartons

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