# Word Problem help

• Dec 7th 2006, 06:30 PM
Schatzle06
Word Problem help
A computer manufacturer reduced the price of its model X computer by 3%. If the new price of the model X computer is \$2489, the how much did the computer cost, in dollars, before its price was reduced? (Round to the nearest dollar)

This problem is for extra points, that I really need.
• Dec 7th 2006, 06:34 PM
AfterShock
Quote:

Originally Posted by Schatzle06
A computer manufacturer reduced the price of its model X computer by 3%. If the new price of the model X computer is \$2489, the how much did the computer cost, in dollars, before its price was reduced? (Round to the nearest dollar)

This problem is for extra points, that I really need.

X(.97) = amount the computer cost before the price was reduced.

Or, 2489*(.03) = y; 2489 - y = same value.

Answer: \$2414.33; rounded to the nearest dollar = \$2414
• Dec 7th 2006, 06:54 PM
Jacobpm64
Quote:

Originally Posted by AfterShock
X(.97) = amount the computer cost before the price was reduced.

Or, 2489*(.03) = y; 2489 - y = same value.

Answer: \$2414.33; rounded to the nearest dollar = \$2414

I don't agree with this Aftershock.

They're asking for the price before reductions, and you came out with a cheaper price than after the reductions were applied!

Let \$\displaystyle x\$ be the original value of the computer.

Since the price was \$2489 after 3% was taken off the original price... we have..

Original Price - (Reduction % * Original Price) = New Price

So.
\$\displaystyle x - .03x = 2489\$
\$\displaystyle .97x = 2489\$
\$\displaystyle x \approx 2566\$

\$2566
• Dec 7th 2006, 06:58 PM
AfterShock
Indeed, misread the question. Thanks, Jacob.