Question

Nick is buying salad and pizza for a company lunch. Suppose that a bowl of salad costs $5.00, and a slice of pizza costs $2.00.Let E be the amount in dollars that Nick spends on salad and pizza. If Nick buys S bowls of salad and P slices of pizza, then the total amount ofmoney he spends (E) can be represented by the equationNow rearrange the equation you wrote above so that P is written in terms of E and S. The quantity of pizza he buys can be represented by theequation

Answer 1

`\begin{gathered} E=5S+2P \\ P=(E-5S)/(2) \end{gathered}`

Explanations:

Given the following parameters:

• Cost of a bowl of salad = $5.00

,

• Cost of a bowl of pizza = $2.00

If Nick buys S bowls of salad, the total money spent on salad will be $5S

If Nick buys P bowls of pizza, then the total money spent on pizza will be $2P

Since E represents the amount in dollars that Nick spends on salad and pizza, the total amount (E) he spends is given according to the equation:

`E=5S+2P`

Next is to write P in terms of E and S.

Given the equation:

`E=5S+2P`

Subtract 5S from both sides of the equation

`\begin{gathered} E-5S=5S-5S+2P \\ E-5S=2P \\ 2P=E-5S \end{gathered}`

Divide both sides by 2:

`\begin{gathered} \frac{\cancel{2}P}{\cancel{2}}=(E-5S)/(2) \\ P=(E-5S)/(2) \end{gathered}`

Therefore the quantity of pizza (P) he buys can be represented by the equation

P = (E-5S)/2