Question

Darnell is buying salad and pizza for a company lunch. Suppose that a bowl of salad costs $4.00, and a slice of pizza costs $2.00. Let E be the amount in dollars that Darnell spends on salad and pizza. If Darnell 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 . Suppose Darnell has $40.00 to spend on salad and pizza; that is, E=$40.00.

Complete the following table with values of S or P that make the equation true.
To complete the first row, determine the number of pizza slices Paolo can purchase with $40.00, when the number of salad bowls he purchases is 0.
Budget (Dollars) Salad (Bowls) Pizza (Slice)
40.00 0 _____
40.00 4 _____
40.00 _____ 0

Answer 1

1. If Darnell 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;

E = 4S + 2P

2. 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;

E = 4S + 2P

2P = E - 4S

P = (E - 4S)/2

3. Budget = $40.00. No salad purchased

Pizza = (E - 4S)/2

= (40 - 0)/2

= 20 pizzas

Budget = $40.00. 4 salads purchased

Pizza = (E - 4S)/2

= (40 - 4 * 4)/2

= 12 pizzas

Budget = $40.00. 0 Pizzas.

Salads = 40/4

= 10 salads