Question

Thelma ordered 2 tacos and 1 quesadilla and paid $5.51. Louise ordered 2 quesadillas and 1 taco and paid 7.09 find the cost for 1 of each of these items

Answer 1

Answer:

A single taco costs $1.31

A single quesadilla costs $2.89

Step-by-step explanation:

Let's suppose that:

T is the price of a single taco.

Q is the price of a single quesadilla.

Thelma ordered 2 tacos and 1 quesadilla, and she paid $5.51, this can be written as:

2*T + 1*Q = $5.51

And we know that Louise ordered 2 quesadillas and 1 taco, and she paid $7.09, this can be written as:

1*T + 2*Q = $7.09

Then we have a system of equations:

2*T + Q = $5.51

T + 2*Q = $7.09

To solve this, we first need to isolate one of the variables, let's isolate T in the second equation:

T = $7.09 - 2*Q

Now we can replace this in the first equation:

2*($7.09 - 2*Q) + Q = $5.51

Now we can solve this for Q.

2*$7.09 - 2*(2*Q) + Q = $5.51

$14.18 - 4*Q + Q = $5.51

$14.18 - 3*Q = $5.51

$14.18 - $5.51 = 3*Q

$8.67 = 3*Q

($8.67)/3 = Q

$2.89 = Q

This means that the price of a single quesadilla is $2.89

Now we can use the equation:

T + 2*Q = $7.09

T + 2*($2.89) = $7.09

T + $5.78 = $7.09

T = $7.09 - $5.78 = $1.31

The price of a single taco is $1.31