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

Question

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 how many carbs are in one glass of milk and in one snack bar.

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Kinsley 2 weeks 2021-09-09T08:55:19+00:00 1 Answer 0

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    2021-09-09T08:57:14+00:00

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

    Solution:

    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 carbs

    carbs 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 carbs

    4m + 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 = 14

    Substitute s = 14 in eqn 1

    2m + 3s = 68

    2m + 3(14) = 68

    2m = 26

    m = 13

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

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