Discounted 4623

The difference in prices for MP3 players was CZK 750. The shop discounted the MP3 player by 20%. The second MP3 was discounted by 35%, and after the discount, the difference in their prices was CZK 750. How much did they face before the deal?

Correct answer:

a =  1750
b =  1000

Step-by-step explanation:


a·(1-20/100)-b·(1-35/100)=750
a-b=750

80a-65b = 75000
a-b = 750

Row 2 - 1/80 · Row 1 → Row 2
80a-65b = 75000
-0.19b = -187.5


b = -187.5/-0.1875 = 1000
a = 75000+65b/80 = 75000+65 · 1000/80 = 1750

a = 1750
b = 1000

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