Question

A school principal ordered 100 pizzas for

a total of $1255. Cheese pizzas cost
$11.50 each, and pepperoni pizzas cost
$13.00 each. Which of the following
systems of linear equations can be used to
determine c, the number of cheese pizzas
the principal ordered, and p, the number
of pepperoni pizzas the principal ordered?
A. c+P = 100
13c + 11.50p = 1255
B. c-p= 100
13c + 11.50p = 1255
C. c+p= 100
11.50c + 13p = 1255
D. c-p=100
11.50c - 13p = 1255

Answer 1

c + p = 100

11.50c + 13.00p = 1255

Explanation:

The first equation represents the total number of pizzas, and determines how many were cheese or pepperoni,

The second equation represents the total cost of the pizzas, and determines how much each type of pizza contributes to the total cost.

Answer 2

c + p = 100

11.50c + 13p = 1255

Explanation:

c = number of cheese pizzas

p = number of pepperoni pizza

If the school principal ordered 100 pizzas, then the equation would be...

c + p = 100

Since cheese pizzas cost $11.50 and pepperoni pizzas cost $13.00, then you would plug them into an equation where they equal to the total cost, $1255.

11.50c + 13p = 1255

So, your answer is letter choice C.