P5/P6 Math: Repeated Identity (Ratios as Fractions)

The question presents 3 unique items of different quantities and each or 2 of them are compared with the total using "fractions".
2 of such comparison statements are given and the total is also known.

Questions like these requires students to use "ratio" methods to solve a seemingly "fraction" problem sum.
Cocepts such as "total unchanged" and "repeated identity" are required to solve such questions.

These questions will usually appear in Paper 2 of P5 and P6 exam papers.
Calculator usage is allowed.

Patricia has a collection of 135 books, stickers and pens.
2/3 of these items were not pens.
3/5 of these items were either books or pens.

a) How many items of Patricia's collection were stickers?
b) What is the ratio of her stickers to pens?



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