Answer:
The cost of 1 taco is $1.31 and 1 quesadilla is $2.89
Step-by-step explanation:
Let [tex]x[/tex] be the cost of 1 tacos and [tex]y[/tex] be the cost of 1 quesadilla
Thelma's order
[tex]2x+1y=5.51\quad\ldots(i)[/tex]
Louise's order
[tex]1x+2y=7.09\quad\ldots(ii)[/tex]
Performing the operation [tex]2\times (i)-(ii)[/tex] we get
[tex]4x+2y=11.2[/tex]
[tex]x+2y=7.09[/tex]
[tex]3x=3.93\\\Rightarrow x=\dfrac{3.93}{3}\\\Rightarrow x=1.31[/tex]
[tex]2x+y=5.51\\\Rightarrow 2\times 1.31+y=5.51\\\Rightarrow y=5.51-(2\times 1.31)\\\Rightarrow y=2.89[/tex]
The required answer is
The cost of 1 taco is $1.31 and 1 quesadilla is $2.89.
