Answer:
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.
