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One week, Carlos bought 3 bags of Tabitha Tidbits and 4 bags of Figaro Flakes for $43.00. The next week he bought 3 bags of Tabitha Tidbits and 6 bags of Figaro Flakes for $54.00. How much is one bag of each type of food?

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absor201

The cost of one bag of Tabitha Tidbits costs $7.00 and cost of one bag of Figaro Flakes costs $5.50

Step-by-step explanation:

Let,

Cost of one bag of Tabitha Tidbits = x

Cost of one bag of Figaro Flakes = y

According to given statement;

3x+4y=43.00   Eqn 1

3x+6y=54.00   Eqn 2

Subtracting Eqn 1 from Eqn 2

[tex](3x+6y)-(3x+4y)=54.00-43.00\\3x+6y-3x-4y=11.00\\2y=11.00[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{11}{2}\\y=5.50[/tex]

Putting y=5.50 in Eqn 1;

[tex]3x+4(5.50)=43.00\\3x+22.00=43.00\\3x=43.00-22.00\\3x=21.00[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{21.00}{3}\\x=7.00[/tex]

The cost of one bag of Tabitha Tidbits costs $7.00 and cost of one bag of Figaro Flakes costs $5.50

Keywords: linear equations, elimination method

Learn more about elimination method at:

  • brainly.com/question/537230
  • brainly.com/question/5345266

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