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 Tabi

Question

3 years ago

5

tha Tidbits and 6 bags of Figaro Flakes for $54.00. How much is one bag of each type of food?

1 answer:

andrezito [222] · Answer 1 · 2022-08-27T10:27:45+03:00

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

$(3x+6y)-(3x+4y)=54.00-43.00\\3x+6y-3x-4y=11.00\\2y=11.00$

Dividing both sides by 2

$\frac{2y}{2}=\frac{11}{2}\\y=5.50$

Putting y=5.50 in Eqn 1;

$3x+4(5.50)=43.00\\3x+22.00=43.00\\3x=43.00-22.00\\3x=21.00$

Dividing both sides by 3

$\frac{3x}{3}=\frac{21.00}{3}\\x=7.00$

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

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