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two glasses of milk and 3 snack bars have a total of 58 carbohydrates​ (carbs), and 4 glasses of milk and 2 snack bars have a total of 76 carbs. Determine how many carbs are in one glass of milk and in one snack bar.

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jessicasmith694694

Answer:

14 carbs in milk

10 carbs in snack bars

Step-by-step explanation:

Glasses of Milk = m

Snack Bars = s

I am going to make this a system of equations:

2m + 3s = 58

4m + 2s = 76

I am going to simplify one of them for a s:

4m + 2s = 76

2s = 76 - 4m

s = 38 - 2m

I am going to insert this into the other equation:

2m + 3s = 58

2m + 3(38 - 2m) = 58

2m + 114 - 6m = 58

(-4)m + 114 = 58

(-4)m = -56

m = 14 calories

I am going to plug this m into one of the equations (doesn't matter which):

2(14) + 3s = 58

28 + 3s = 58

3s = 30

s = 10

You can plug these values back into each of the equations to make sure they work.

Hope it helps! (:

boffeemadrid

The number of carbs in one glass of milk and in one snack bar is required.

The carbs in one glass of milk is 14 carbs and one snack bar is 10 carbs

Let number of carbs in one glass of milk is [tex]x[/tex]

Number of carbs in one snack bar is [tex]y[/tex]

The equations are

[tex]2x+3y=58[/tex]       [tex]\times2[/tex]

[tex]4x+2y=76[/tex]

[tex]4x+6y=116[/tex]

[tex]4x+2y=76[/tex]

Subtracting the equations

[tex]4y=40\\\Rightarrow y=10[/tex]

Finding x

[tex]2x+3y=58\\\Rightarrow x=\dfrac{58-3y}{2}\\\Rightarrow x=\dfrac{58-3\times 10}{2}\\\Rightarrow x=14[/tex]

The carbs in one glass of milk is 14 carbs and one snack bar is 10 carbs

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