Question

Three glasses of milk and 2 snack bars have a total of 53 carbohydrates​ (carbs), and 2 glasses of milk and 3 snack bars have a total of 52 carbs. Determine how many carbs are in one glass of milk and in one snack bar

Answer 1

Make a system of equations:
m means carbs in glasses of milk
s means carbs in snack bars
3m + 2s = 53
2m + 3s = 52
Solve by elimination
I’m doing this: first multiply the top equation by -2 and the bottom by 3 (everything).
-6m - 4s = -106
6m + 9s = 156
Now add the equations: (ms cancel out)
5s = 50
Divide both sides by 5 to get a
s = 10
Now that you have s, substitute it for s in one of the equations (I’m doing the first equation)
3m + 2(10) = 53
3m + 20 = 53
Subtract 20 from both sides
3m = 33
Divide both sides by 3
m = 11
So now you have the carbs in a snack bar (s) and in a glass of milk (m).

Answer 2

1 Glass of milk has 11 Carbohydrates

1 snack bar has 10 Carbohydrates

Explanation:

Let M represent a glass of milk and S represent a snack bar! So, we have equations that are

3M + 2S = 53 Carbs

2M + 3S = 52 Carbs

We time the first equation by -1.5 and get

-4.5M - 3S = -79.5 Carbs

2M + 3S = 52 Carbs

Now let's find the Milk carbs by adding both equations

-2.5M = -27.5 Carbs

M = 11 Carbs

Now put 11 in for M to find the Carbs for a snack bar.

2(11) + 3S = 52 Carbs

22 + 3S = 52 Carbs

3S = 30 Carbs

S = 10 Carbs

So, 1 Glass of milk has 11 Carbohydrates

1 snack bar has 10 Carbohydrates