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After a 5% reduction, you purchase a new digital player for $190.

After a 5% reduction, you purchase a new digital player for $190. What was the price of the digital player before the reduction?

A) First write an equation you can use to answer this question. Use x as your variable and express any percents in decimal form in the equation.

The equation is

B) Solve your equation in part [A] to find the original price of the digital player.

Answer: The original price of the digital player was dollars.

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1 Answer

A)  x = the original price

To do a reduction of 5%, subtract .05 from 1.

The equation is (1 - .05)x = 190 or .95x = 190

B)  .95x = 190                  Equation from a

.95x/.95 = 190/.95            Divide each side by .95

x = 200

The original price was $200.