Sentence 3: A third of the remainder is oranges
Translation 3: ?
×
remainder = Oranges
[note: I write it aligned, though I’m skipping explanations]
But we already know the remainder is Oranges + Pears and we also know Oranges + Pears = 27
Therefore, ? × 27 = Orangesg9 = Oranges
We examine what we have and see:
Apples =3
Oranges = 9
Oranges + Apples + Pears = 30
Oranges + Pears = 27
Do what you can: We can use Oranges = 9 in Oranges + Pears = 27
OR (emphasized) Apples =3 & Oranges = 9 in Oranges + Apples + Pears = 30
We get: Pears = 18
We read the next sentence: “How many pears does she have?” and find out we already know the
answer :)
Final note: at the beginning it is not easy to get used to doing things SO simply, especially if we
were trained to do them in a complicated way. But once students get used to it, they solve problems
in several minutes, hardly ever make mistakes, have no problem with even the most complex word
problems, and they ENJOY it.
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