MATH SOLVE

4 months ago

Q:
# Cindi bought a sheet pizza for a party. Some of the pizza has pepperoni, some has onions, and the rest of it has both. Two-fifths of the pizza has just pepperoni and one-third of the pizza has just onions. What fraction of the pizza has both pepperoni and onions? PLEASE ANSWER ASAP

Accepted Solution

A:

Answer:[tex]\frac{4}{15}[/tex] of the pizza has both pepperoni and onions.Step-by-step explanation:As we know, [tex]\frac{2}{5}[/tex] of the pizza has pepperoni and [tex]\frac{1}{3}[/tex] of it is onions. 1. Find the total of the two fractions above. [tex]\frac{2}{5}[/tex] + [tex]\frac{1}{3}[/tex]= [tex]\frac{6}{15}[/tex] + [tex]\frac{5}{15}[/tex] Β Β (because you have to find like denominators when you add)= [tex]\frac{11}{15}[/tex][tex]\frac{11}{15}[/tex] of the pizza have one topping.2. Subtract [tex]\frac{11}{15}[/tex] from the whole.The whole is 1, or [tex]\frac{15}{15}[/tex]. So,[tex]\frac{15}{15}[/tex] - [tex]\frac{11}{15}[/tex] = [tex]\frac{4}{15}[/tex].[tex]\frac{4}{15}[/tex] of the pizza have both pepperoni and onions.