ten people will equally share three pizzas. How much pizza will each person receive?

Answer 1

So, to divide 3 pizzas among 10 people, you must start by representing this as a ratio or a fraction

3 pizzas

10 people

A pizza is measured in slices, and your average pizza is divided into 8 slices. So there are

3 pizzas x 8 slices = 24 slices to be divided among 10 people.

Now, to determine how many slices each person gets, you can simply divide 24 by 10

24 = 2.4 slices per person

10

Remember, when dividing or multiplying a number by 10, simply move the decimal place one forward or backwards. In this case, division, the decimal moves forward one place so 24.0 becomes 2.4

Answer 2

You have 3 pizzas and you are divided them among 10 people. So you could translate this into this ratio or fraction:

3 pizzas

__________

10 people

To solve the question, I would create a proportion, or two ratios set equal to each other.

3 pizzas ? pizzas

____________ = _________

10 people 1 person

Proportions often can be best solved by cross-multiplying. Let's substitute P for the question mark in the above proportion and also leave out the units and then cross-multiply to get:

3(1) = 10P

3 = 10P

The next key is that, to figure out 1P, the amount of pizza that one person will get, we need to divide 10P by 10 to get 1P. Of course, that means we will need to divide 3 by 10 as well; those are the rules.

3/10 = 10P/10

3/10 = 0.3 = 1P = P

So each person will get 3/10 of a pizza.