The hobbits Frodo, Sam, Pippin and Merry have breakfast at different times. Each one takes a quarter of the porridge in the pan, thinking that the other three have not yet eaten. What fraction of the porridge is left after all four hobbits had their breakfast?

Respuesta :

Step-by-step explanation:

Let us start with Frodo's breakfast. He starts eating a quarter of the porridge. Let us say the porridge is 100 spoons, to make dividing easier. After Frodo we have [tex]\frac{3}{4}[/tex] left of the original bowl; we are left with 75 spoons.

100 - [tex]\frac{1}{4}[/tex] = 100 - 25 = 75

Next, comes Sam's breakfast. He eats 75 - [tex]\frac{1}{4}[/tex] = 75 - 18.75 = 56.25 spoons left.

Next, we have Pippin's breakfast. He eats 56.25 - [tex]\frac{1}{4}[/tex] = 42.1875 spoons.

Lastly, we have Merry's breakfast. He eats 42.1875 - [tex]\frac{1}{4}[/tex] = 31.640625 spoons.

Now, we know we have 31.640625 spoons left. However, we need to know what fraction this is out of the original porridge bowl. So, we do:

31.640625 * 100 = 3164.0625 * 1 = 3164.0625

3164.0625% of the bowl remaining!

What a yummy breakfast!