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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?
people

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. $\newline$ How many people can Rita feed with $55$ pancakes? $\newline$ people

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Divide numbers ending in zeros: word problems

Full solution

Q. 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.

\newline

How many people can Rita feed with

55

pancakes?

\newline

people

Determine Pancakes to People Ratio: Determine the ratio of pancakes to people. $\newline$ Rita knows that $22$ pancakes can feed $8$ people. This gives us a ratio of $22$ pancakes per $8$ people.
Calculate People per Pancake: Calculate the number of people per pancake. $\newline$ To find out how many people one pancake can feed, we divide the number of people by the number of pancakes. $\newline$ $8$ people $\div$ $22$ pancakes = $\frac{8}{22}$ people per pancake
Simplify Ratio: Simplify the ratio. $\newline$ Simplify the ratio from Step $2$ to make the calculation easier. $\newline$ $\frac{8}{22}$ simplifies to $\frac{4}{11}$ people per pancake.
Calculate People for $55$ Pancakes: Calculate the number of people $55$ pancakes can feed. $\newline$ Now, we multiply the number of pancakes Rita has by the simplified ratio of people per pancake. $\newline$ $55$ pancakes $\times$ $\frac{4}{11}$ people per pancake
Perform Multiplication: Perform the multiplication to find the number of people. $55 \times \frac{4}{11} = \frac{220}{11} = 20$ people

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