Answer:
The original price was $80.
Step-by-step explanation:
Let the original price be p.
Then, after the first discount (25%), the price became 0.75($30), or $22.50. We begin with 100% of p, convert this percentage to a decimal fraction multiplying p: 1.00p. Next, we subtract the resulting fraction from 1.00, obtaining 0.75. Finally, we multiply the original price, p, by this result:
0.75p.
Following a similar procedure, we determine the formula for the price after the second discounting: (1.00 - 0.50)(0.75p), obtaining:
0.50(0.75p) = 0.375p. That's the current price, $30. Writing and solving an appropriate equation, we get
0.375p = $30. Dividing both sides of this equation by 0.375 yields:
p = ($30) / 0.375 = $80.
The original price was $80.
