The price of a video game was reduced from $70 to $40. By what percentage was the video game reduced? Justify your answer

Justify means you need to show your work. But it was 45% off because 35+35=70 but it's $40 so it makes it 45% discount

Answer: 42.86%

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The original price of the videogame (70) multiplied by a percentage (x) is equal to the price after discount (40)

70x = 40

x = 40/70 = 0.5714

Multiplied by 100 to convert to percentage = 57.14%

So,$40 is 57.14% of the full price (70)

The full price percentage (100%) minus the discount price percentage (57.14%) is equal to the percentage reduce.

100-57.14 = 42.86%