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The number of postcards Jonas had at first should be 18 units. 18 x (7/9) = 14 = 35 x (2/5) as stated in the first sentence of the question.

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Yes. Should be 18 units. 

Thank you so much for spotting our mistake. 

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You are most welcome.

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Method 1 :
Sofia : 7 units + 7 units + 7 units + 7 units + 7 units = 35 units
Jonas : 7 units + 7 units + 4 units = 18 units
(2/7) x 35 = 10
35 units – 10 units = 25 units
10 units + 6 + 18 units = 28 units + 6
11 – 5 = 6
25 units/(28 units + 6) = 5/6
150 units = 140 units + 30
1 unit = 3
28 units + 6 = 28 x 3 + 6 = 90

Method 2 :
2/5 = 14/35
Sofia : 35 units
7/9 = 14/18
Jonas : 18 units
(2/7) x 35 = 10
35 – 10 = 25
18 + 10 = 28
25 units/(28 units + 6) = 5/6
150 units = 140 units + 30
1 unit = 3
28 units + 6 = 28 x 3 + 6 = 90

Ans : 90 postcards.

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