Question

After a 20% discount, you purchase a television for $240. What was the television's

price before the reduction? (Define a variable, create an equation, solve using algebra,
and answer in a sentence.)

Answer 1

Answer: $300

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Work Shown:

x = price of the TV before the discount

20% of x = 0.20x = discount, aka amount saved

x - 0.20x = 0.80x = price after discount

0.80x = 240

x = 240/0.80

x = 300

The TV was $300 before the discount.

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Check:

20% of 300 = 0.20*300 = 60 dollars is the amount saved

300-60 = 240 is the price after the discount, which matches the given info. The answer is confirmed.