Chef Rita is cooking for a Sunday brunch. She knows that 22 pancakes can feed 8 people. She is wondering how many people she can feed with 55 pancakes. She assumes each person eats the same quantity of pancakes.
55 * 8 = 440
440 / 22 = 20 people
20 people
55 pancakes / p people = 22 pancakes / 8 people.
We then cross multiply and so multiply both sides by 8 and p. The new equation is 8 * 50 = 22 * p. 440 = 22p. So p = 440/22. Divide both sides by 22 and you get the answer, 20 people. (Also from Khan Academy)
To determine how many people Chef Rita can feed with 55 pancakes, we need to calculate the ratio of pancakes to people.
First, let's find the number of pancakes per person:
22 pancakes / 8 people = 2.75 pancakes per person
Now, we can divide the total number of pancakes (55) by the number of pancakes per person to find the number of people Chef Rita can feed:
55 pancakes / 2.75 pancakes per person = 20 people
Therefore, Chef Rita can feed 20 people with 55 pancakes.
To find out how many people Chef Rita can feed with 55 pancakes, we need to compare the number of pancakes to the number of people.
First, let's establish the ratio of pancakes to people based on the given information. We know that 22 pancakes can feed 8 people. Therefore, the ratio of pancakes to people is 22/8.
To determine how many people can be fed with 55 pancakes, we can set up a proportion:
22 pancakes / 8 people = 55 pancakes / x people
Now, we can cross-multiply and solve for x:
22 * x = 55 * 8
Multiplying both sides of the equation:
22x = 440
Now, divide both sides of the equation by 22:
x = 20
Therefore, Chef Rita can feed 20 people with 55 pancakes, assuming each person eats the same quantity of pancakes.