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.

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

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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step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for