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4 glasses of milk and 2 snack bars have a total of 86 carbohydrates​ (carbs), and
2 glasses of milk and 3 snack bars have a total of 69 carbs. Determine how many carbs are in one glass of milk and in one snack bar.

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Answer:

There are 15 carbs in one glass of milk and 13 carbs in one snack bar.

Step-by-step explanation:

Let m be the number of carbohydrates in one glass of milk and

Let s be the number of carbohydrates in one snack bar

Then according to given information

The system of equations will be:

[tex]4m+2s = 86\\2m+3s = 69[/tex]

Multiplying equation 2 by 2 and subtracting from equation 1

[tex]2(2m+3s) = 69*2\\4m+6s = 138[/tex]

Subtracting from equation 1

[tex]4m+2s-(4m+6s) = 86-138\\4m+2s-4m-6s = -52\\-4s = -52\\\frac{-4s}{-4} = \frac{-52}{-4}\\s = 13[/tex]

Putting s=13 in equation 1

[tex]4m+2(13) =86\\4m+26 = 86\\4m = 86-26\\4m = 60\\\frac{4m}{4} = \frac{60}{4}\\m = 15[/tex]

Hence,

There are 15 carbs in one glass of milk and 13 carbs in one snack bar.

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