Scratches

The ticket seller sold 1,280 scratch cards in three days. On the second day, he sold 90 tickets less than on the first day, on the third day he sold 1.5 times more tickets than on the second day. How many tickets did he sell on the third day?

Correct result:

c =  510

Solution:

 a+b+c=1280 b=a90 c=1.5b  a+b+c=1280 b=a90 c=1.5 b  a+b+c=1280 ab=90 1.5bc=0  a=430 b=340 c=510 \ \\ a+b+c=1280 \ \\ b=a- 90 \ \\ c=1.5b \ \\ \ \\ a+b+c=1280 \ \\ b=a- 90 \ \\ c=1.5 \cdot \ b \ \\ \ \\ a+b+c=1280 \ \\ a-b=90 \ \\ 1.5b-c=0 \ \\ \ \\ a=430 \ \\ b=340 \ \\ c=510



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