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Chapter 7   

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Big Brownies

solution

Brenda ate 1/4 of her brownie.
Craig ate 1/6 of his brownie.
Jon ate 1/2 of his brownie.
Matt ate 2/4 of his brownie.
Tommy ate 3/4 of his brownie.

explanation

brownies

Using the Clues
Make a chart with the fractions of brownies eaten shown in order from least to greatest.

  1/6 1/4 1/2 2/4 3/4
Brenda   X      
Craig X        
Jon     X X  
Matt     X X  
Tommy         X

 

Jon ate the same amount as Matt.

The two amounts that are the same are 1/2 and 2/4.

We can't tell yet which person ate which of these two amounts.

 

Tommy ate more than Matt did.

The only amount more than 1/2 or 2/4 is 3/4.

So Tommy must have eaten 3/4 of his brownie.

 

Brenda ate more than Craig ate.

The only amounts left are 1/4 and 1/6.

One fourth is greater than 1/6.

So Brenda must have eaten 1/4 of her brownie.

Craig must have eaten 1/6 of his brownie.

 

Matt's brownie was cut into more pieces than Jon's.

Matt must have eaten 2/4, because that brownie was cut into 4 pieces.

Jon must have eaten 1/2, because that brownie was cut into 2 pieces.

 


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