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## Two glasses of milk and 3 snack bars have a total of 68 carbs, and 4 glasses of milk and 2 snack bars have a total of 80 carbs. Determine ho

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## Answers ( )

Amount of carbs in one glass of milk is 13 and amount of carbs in one snack bar is 14Solution:Let “m” be the amount of carbs in one glass of milk

Let “s” be the amount of carbs in one snack bar

Given that

two glasses of milk and 3 snack bars have a total of 68 carbscarbs in one glass of milk x two glasses of milk + carbs in one snack bar x 3 snack bars = 68 carbs

2m + 3s = 68 —- eqn 1

Similarly,

Also given that

4 glasses of milk and 2 snack bars have a total of 80 carbs4m + 2s = 80 —— eqn 2

Let us solve these two equations and

find values of “m” and “s”Multiply eqn 1 by 2

4m + 6s = 136 — eqn 3

Subtract eqn 2 from eqn 3

4m + 6s = 136

4m + 2s = 80

(-) ———————-

4s = 56

s = 14Substitute s = 14 in eqn 12m + 3s = 68

2m + 3(14) = 68

2m = 26

m = 13Thus the

amount of carbs in one glass of milk is 13 and amount of carbs in one snack bar is 14