Question

At Joe's Pizzeria, small pizzas cost $7.50, and large pizzas cost

Answer 1

Answer:

Option B. 44 is the correct answer

Step-by-step explanation:

Let l be the number of large pizzas and s be the number of small pizzas

Then according to the given statement the equations will be:

$l+s = 100\ \ \ Eqn\ 1\\11l+7.5s = 848\ \ \ Eqn\ 2$

From equation 1

$l = 100-s$

Putting in equation 2

$11(100-s)+7.5s = 848\\1100-11s+7.5s = 848\\-3.5s+1100 = 848\\-3.5s = 848-1100\\-3.5s = -252\\\frac{-3.5s}{-3.5} = \frac{-252}{-3.5}\\s = 72$

Putting s=72 in equation 1

$l+72 = 100\\l = 100-72\\l = 28$

How many more small pizzas means we have to find s-l

So,

s-l = 72-28 = 44

Hence,

Option B. 44 is the correct answer