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](https://tex.z-dn.net/?f=%283x%2B6y%29-%283x%2B4y%29%3D54.00-43.00%5C%5C3x%2B6y-3x-4y%3D11.00%5C%5C2y%3D11.00)
Dividing both sides by 2
![\frac{2y}{2}=\frac{11}{2}\\y=5.50](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7B2%7D%3D%5Cfrac%7B11%7D%7B2%7D%5C%5Cy%3D5.50)
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](https://tex.z-dn.net/?f=3x%2B4%285.50%29%3D43.00%5C%5C3x%2B22.00%3D43.00%5C%5C3x%3D43.00-22.00%5C%5C3x%3D21.00)
Dividing both sides by 3
![\frac{3x}{3}=\frac{21.00}{3}\\x=7.00](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%3D%5Cfrac%7B21.00%7D%7B3%7D%5C%5Cx%3D7.00)
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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