Today’s problem — free all day, every step. Every day has one.
A farmer collected some eggs. of them were brown eggs and the rest were white eggs. After selling 60 white eggs and of the brown eggs, she had of the eggs left. How many eggs did the farmer sell?
Answer
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The second fraction is of one piece, not of the whole.
In this one. Turn "4/5 of the brown eggs" into a fraction of all the eggs — once the brown share left (1/8) is measured against the same whole as the 1/4 left altogether, the white share falls out by subtraction and the 60 lands on a known fraction of the total.
A second fraction arrives after the first and is attached to a piece rather than to the whole — 'of the remainder', 'of what was left', or 'of the ones that were red'.
Children take the second fraction of the original total instead of the piece it was named against, which makes the amount come out too big.
Worked examples of all 33 patterns and skills, in a booklet you can print.