Cody and Sam mowed the yard on Saturday. Dad told Cody to mow 1/4 of the yard. He told Sam to mow 1/3 of the remainder of the yard. Dad paid each of the boys an equal amount. Sam said, "Dad, that’s not fair! I had to mow one-third, and Cody only mowed one-fourth!" Explain to Sam the error in his thinking.Draw a picture to support your reasoning.

Answer:Step-by-step explanation:Dad told Cody to mow [tex]\frac{1}{4}[/tex] of the yard.He told Sam to mow [tex]\frac{1}{3}[/tex] of the remainder of the yard.Sam might be thinking [tex]\frac{1}{3}[/tex] is bigger than [tex]\frac{1}{4}[/tex]But actually Sam was told to mow :[tex]\frac{1}{3}[/tex] of (1 - [tex]\frac{1}{4}[/tex])[tex]\frac{1}{3}[/tex] × (1 - [tex]\frac{1}{4}[/tex])= [tex]\frac{1}{3}[/tex] × [tex]\frac{3}{4}[/tex]= [tex]\frac{1}{4}[/tex]Therefore, both mowed the yard in equal amount.