Sarah and her friends ordered a pizza. Sarah ate 5 1 ​ of the pizza. Her friend John ate 20% and her friend Jules ate half of the pizza. How much pizza is left over?

Respuesta :

Given:

Sarah ate [tex]\dfrac{1}{5}[/tex] of the pizza.

Her friend John ate 20%.

Her friend Jules ate half of the pizza.

To find:

The remaining part of the pizza.

Solution:

We have,

Sarah ate = [tex]\dfrac{1}{5}[/tex] of the pizza.

John ate = [tex]20\%[/tex]  of the pizza.

              = [tex]\dfrac{20}{100}[/tex]  of the pizza.

              = [tex]\dfrac{1}{5}[/tex] of the pizza.

Jules ate = [tex]\dfrac{1}{2}[/tex] of the pizza.

Total part of a pizza they ate = [tex]\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{2}[/tex]

                                 = [tex]\dfrac{2+2+5}{10}[/tex]

                                 = [tex]\dfrac{9}{10}[/tex] of the pizza.

Now, the remaining pizza is

Remaining pizza = 1 - Total part of a pizza they ate

                            = [tex]1-\dfrac{9}{10}[/tex] of the pizza.

                            = [tex]\dfrac{10-9}{10}[/tex] of the pizza.

                            = [tex]\dfrac{1}{10}[/tex] of the pizza.

Therefore, the remaining pizza is [tex]\dfrac{1}{10}[/tex] of the pizza.