Question

Four people ordered total bill for soup and four people ordered stew is $31 .If only 2 people had ordered soup and one person ordered stew ,the bill would have been $12.25 .How much is each order of soup and stew ?

Answer 1

Let price of 1 soup be "x" and 1 stew be "y".

4 soup and 4 stew is $31, thus we can write:

`4x+4y=31`

Also, given

2 soup and 1 stew costs $12.25, thus we can write:

`2x+y=12.25`

Let' solve this for y and substitute it back to Equation 1. Then we will solve for x. The process is shown below:

`y=12.25-2x`

Substituting,

`\begin{gathered} 4x+4y=31 \\ 4x+4(12.25-2x)=31 \\ 4x+49-8x=31 \\ 49-31=8x-4x \\ 18=4x \\ x=(18)/(4) \\ x=4.5 \end{gathered}`

Finding y:

`\begin{gathered} y=12.25-2x \\ y=12.25-2(4.5) \\ y=3.25 \end{gathered}`

Thus,

Answer:

Each order of Soup = $4.50

Each order of Stew = $3.25