Question

Raphael is buying salad and pizza for a company lunch. Suppose that a bowl of salad costs $5.00, and a slice of pizza costs $3.00. Let E be the amount in dollars that Raphael spends on salad and pizza. If Raphael buys S bowls of salad and P slices of pizza, then the total amount of money he spends ( E ) can be represented by the equation_______________________ . Now 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 the equation P=E−($5.00×S)$3.00 . Suppose Raphael has $30.00 to spend on salad and pizza; that is, _________________.

Answer 1

Answer:

The answer is "$\bold{E = \ 5.00S+\ 3P \ \ \ and \ \ \ E = \ 30}$".

Explanation:

Assume that person-person C is still there. He purchases 2 things – salad (S) and pizza (P).  Salad (PS) cost five dollars and pizza cost(Pp) three dollars.  Let E is the cumulative dollar amount spent on both S and P by Individual C. Look for a cumulative sum of money he pays, represented by E.  

Absolute spending equals the amount of good S expenses and good P expenses.

$\to E = \ 5.00S+\ 3P$

In E and S, compose the P equation.  

$E=\ 5.00 S+\ 3P \\\\3P=E-\ 5.00 S \\\\P= \frac{E - \ 5.00S}{\ 3.00}$

Therefore, the required equation is:

$P= \frac{E - \ 5.00S}{\ 3.00}$

Person C will have $30 to spend on the goods E = $30.