Three glasses of milk and 4 snack bars have a total of 89 carbohydrates (carbs), and 4 glasses of milk and 3 snack bars have a total of 9393 carbs. determine how many carbs are in one glass of milk and in one snack bar.

There are  15 carbs in each glass of milk and  11 carbs in each snack bar.

Step-by-step explanation:

Let us assume:

The carbs in  each glass of milk  = x

The carbs in each snack bar = y

So, the carbs in 3 glass of milk = 3 ( Carbs in 1 glass of milk )  = 3 x

and the carbs in 4 snack bars  = 4 ( Carbs in 1 snack bar)  = 4 y

⇒ 3 x + 4 y = 89

Similarly, the carbs in 4 glass of milk = 4 ( Carbs in 1 glass of milk )  = 4 x

and the carbs in 3 snack bars  = 3 ( Carbs in 1 snack bar)  = 3 y

⇒ 4 x + 3 y = 93

Solving the given system of equation:

3 x + 4 y = 89     (1)

4 x + 3 y = 93     (2)

Multiply equation (1) with (-4) , and (2) by 3 and add both equation.

-12 x - 16 y + 12 x + 9 y = -356 + 279

or, - 7 y = -77

⇒ y =  77 / 7 = 11 , or y  =   11

Putting this in (1) , we get  3 x  + 4y = 89

⇒ 3 x  + 4(11) = 89  or,  3 x =  89 - 44 = 45

or, x = 45/3  = 15

⇒ x = 15

Hence, there are  15 carbs in each glass of milk.

There are  11 carbs in each snack bar.