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, _.

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.

[tex]\to E = \$ 5.00S+\$ 3P[/tex]

In E and S, compose the P equation.

[tex]E=\$ 5.00 S+\$ 3P \\\\3P=E-\$ 5.00 S \\\\P= \frac{E - \$ 5.00S}{\$ 3.00}[/tex]

Therefore, the required equation is:

[tex]P= \frac{E - \$ 5.00S}{\$ 3.00}[/tex]

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