Question

chef rita is cooking for a sunday brunch. she knows that 22 pancakes can feed 8 people. she is wondering how many people (p) she can feed with 55 pancakes. she assumes each person eats the same quantity of pancakes. how many people can rita feed with 55 pancakes? \boxed{} people

Explanation:

Step1: Set up proportional equation

$\frac{22}{8} = \frac{55}{p}$

Step2: Cross-multiply to solve for $p$

$22p = 55 \times 8$

Step3: Calculate right-hand side

$22p = 440$

Step4: Isolate $p$ by division

$p = \frac{440}{22}$

Answer:

20 people