Question

You and a friend go to Tacos Galore for lunch. You order five soft tacos and three burritos and your total bill is $14. Your friend's bill is $12.00 for four soft tacos and two burritos. How much do soft tacoscost? How much do burritos cost?

Answer 1

Step-by-step explanation

This question involves a simultaneous equation

To solve this, let

soft tacos be represented by s

Burritos be represented by b

So we can set up the equations:

`\begin{gathered} 5s+3b=14--equation\text{ 1} \\ 4s+2b=12---equation\text{ 2} \end{gathered}`

The next step will be to solve the equation simultaneously

so from equation 2, we will have

`\begin{gathered} 2s+b=6 \\ from\text{ which} \\ b=6-2s \end{gathered}`

Substituting b=6-2s into equation 1