Twelve ties

The price of 12 ties before the discount was the same as 15 ties after the discount. Calculate the price of 1 tie after the discount if you know that the discount price of one tie fell by 40 CZK.

Correct answer:

x =  160 CZK

Step-by-step explanation:


12y = 15x
x = y-40

12·y = 15·x
x = y-40

15x-12y = 0
x-y = -40

Row 2 - 1/15 · Row 1 → Row 2
15x-12y = 0
-0.2y = -40


y = -40/-0.2 = 200
x = 0+12y/15 = 0+12 · 200/15 = 160

x = 160
y = 200

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