4glasses of milk and 2 snack bars have a total of 80 carbohydrates (carbs), and 2 glasses of milk and 3 snack bars have a total of 68 carbs. determine how many carbs are in one glass of milk and in one snack bar

The amount of carbs in 1 glass of milk  =  13 carbs

The amount of carbs in 1 snack bar =   14 carbs

Step-by-step explanation:

Let us assume the carbs  in 1 glass of milk = m

And the number of carbs in 1 snack bar   = n

Now, total carbs in  4 glass of milk  = 4 x (Carbs in 1 glass of milk) =  4 m

Also, total carbs in 2 snack bars  = 2 x (Carbs in 1 snack bar) =  2 n

Here,  Total carbs in 4 milk glass + 2 snack bar  = 80

⇒ 4  m + 2 n = 80   (1)

Again, total carbs in  2 glass of milk  = 2 x (Carbs in 1 glass of milk) =  2 m

Also, total carbs in 3 snack bars  = 3 x (Carbs in 1 snack bar) =  3 n

Here,  Total carbs in 2 milk glass + 3 snack bar  = 68

⇒ 2  m + 3 n = 68   (2)

Now, solving both the given equations by ELIMINATION, we get:

4  m + 2 n = 80  

2  m + 3 n = 68    x (-2)

we get the new set of equitation as:

4  m + 2 n = 80

- 4 m  - 6 n = -136

Adding both equation, we get

- 4 n = -56

or, n = 56 /4  =14

Now, 4  m + 2 n = 80

So, 4 m = 80   -2 (14)  = 80 - 28  = 52

⇒  m = 52/4  =  13

Hence,  the amount of carbs in 1 glass of milk = m = 13 carbs

And  the amount of carbs in 1 snack bar = n  = 14 carbs

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step-by-step explanation: