Question

Two glasses of milk and 3 snack bars have a total of 61 carbohydrates​ (carbs), and 4 glasses of milk and 2 snack bars have a total of 70 carbs. Determine how many carbs are in one glass of milk and in one snack bar.

Answer 1

Answer:

24 carbohydrates

Step-by-step explanation:

Represent Snack bars with S and Milks with M.

So, we have:

$2M\ and\ 3S\ = 61$

and

$4M\ and\ 2S\ = 70$

Required: Solve for M and S

Convert the given expressions to mathematical expressions:

$2M + 3S = 61$ --- (1)

$4M + 2S = 70$ --- (2)

Multiply the first equation by 2

$2M + 3S = 61$ --------- * 2

$4M + 6S = 122$ --- (3)

Subtract (1) from (3)

$4M - 4M + 6S - 2S = 122 - 70$

$4S = 52$

Solve for S

$S = 52/4$

$S = 13$

Substitute 13 for S in (2)

$4M + 2S = 70$

$4M + 2 * 13 = 70$

$4M + 26 = 70$

Solve for 4M

$4M = 70 - 26$

$4M = 44$

Solve for M

$M = 44/4$

$M = 11$

1 glass of milk and 1 snack bar = S + M

$S + M = 13 + 11$

$S + M = 24$