Question

Two glasses of milk and 3 snack bars have a total of 63 carbohydrates​ (carbs), and 4 glasses of milk and 2 snack bars have a total of 82 carbs. Determine how many carbs are in one glass of milk and in one snack bar.

Answer 1

Glass of milk=15 carbs

One snack bar=11 carbs

Explanation:

×2 2m+3s=63.......................1

×1 4m+2s=82..............2

4m+6s=126

4m+2s=82

Cancel out the 4ms

6s=126

2s=82

minus top and bottom equations and remain with

4s= 44

s=44/4

s=11 ∴ one snack bar is 11 carbs

subs s=11 into equation 1

2m+3s=63

2m+3(11)=63

2m+33=63

2m=63-33

2m=30

m=30/2

m=15 ∴one glass of milk is 15 carbs