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Upper primary school mathematics question UPQ136

Teacher in charge of the event prepared a box of pens and pencils to use in the school anniversary event. If the teacher took out 140 pencils, 1/3 of the remaining items in the box were pencils. If the teacher took out 25% of the pens, then ¼ of the remaining items in the box were pens.

(a) How many pens were there in the box at first?

(b) How many pencils were there?

Solution:

Draw the math model based on the above two ‘if’s.

To note that the number of pens and pencils are constant

25% of the pens ==> 1/4 of the total number of pens

From the model,

7 units = 140

1 unit = 20

Pens in the box at first = 4 × 20 = 80

Pencils in the box = 9 × 20 = 180

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