Equivalent expressions

A coach took his team out for pizza after their last game. There were 14 players, so they had to sit in smaller groups at different tables. Six players sat at one table and got 4 small pizzas to share equally. The other players sat at the different table and got 6 small pizzas to share equally. Afterward, one of the players said it wasn't fair because some kids got more pizza than others. Do you agree? (Write yes=1, no=0) Use numbers, words or labeled sketches to explain your answer.

Result

x =  1

Solution:

a=4/6=23≐0.6667 b=6/(14−6)=34=0.75  a<b  x=1a=4/6=\dfrac{ 2 }{ 3 } \doteq 0.6667 \ \\ b=6/(14-6)=\dfrac{ 3 }{ 4 }=0.75 \ \\ \ \\ a<b \ \\ \ \\ x=1

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Dr Math
Yes, the first group ate a smaller piece of pizza than the second group.

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