Four glasses of milk and 2 snack bars have a total of 72 carbohydrates (carbs), and 2 glasses of milk and 3 snack bars have a total of 64 carbs. Determine how many carbs are in one glass of milk and in one snack bar

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absor201 absor201 · Answer 1 · 2019-11-26T08:21:03+01:00

One glass of milk has 11 carbs and one snack bar has 14 carbs.

Step-by-step explanation:

Let,

Glass of milk = x

Snack bar = y

According to given statement;

4x+2y=72 Eqn 1

2x+3y=64 Eqn 2

Multiplying Eqn 2 by 2

[tex]2(2x+3y=64)\\4x+6y=128\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 1 from Eqn 3

[tex](4x+6y)-(4x+2y)=128-72\\4x+6y-4x-2y=56\\4y=56[/tex]

Dividing both sides by 4

[tex]\frac{4y}{4}=\frac{56}{4}\\y=14[/tex]

Putting y=14 in Eqn 1

[tex]4x+2(14)=72\\4x+28=72\\4x=72-28\\4x=44[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4}=\frac{44}{4}\\x=11[/tex]

One glass of milk has 11 carbs and one snack bar has 14 carbs.

Keywords: linear equations, subtraction

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