Question

Thelma and Louise ordered take-out from Belle Taco. Thelma ordered 2 tacos and 1 quesadilla and paid $5.51. Louise ordered 2 quesadillas and 1 taco and paid $7.09.

Answer 1

The cost of 1 taco is $1.31 and 1 quesadilla is $2.89

Explanation:

Let
`x` be the cost of 1 tacos and
`y` be the cost of 1 quesadilla

Thelma's order

`2x+1y=5.51\quad\ldots(i)`

Louise's order

`1x+2y=7.09\quad\ldots(ii)`

Performing the operation
`2* (i)-(ii)` we get

`4x+2y=11.2`

`x+2y=7.09`

`3x=3.93\\\Rightarrow x=(3.93)/(3)\\\Rightarrow x=1.31`

`2x+y=5.51\\\Rightarrow 2* 1.31+y=5.51\\\Rightarrow y=5.51-(2* 1.31)\\\Rightarrow y=2.89`

The required answer is

The cost of 1 taco is $1.31 and 1 quesadilla is $2.89.