Problem 144 - Introductory Algebra for College Students

Question

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I saved money by buying a computer for \(\frac{3}{2}\) of its original price.

Step-by-Step Solution

Answer

The statement 'I saved money by buying a computer for \(\frac{3}{2}\) of its original price' does not make sense because you can't save money if you spend more than the original price on the purchase.

Step 1: Understand the Statement

The statement says 'I saved money by buying a computer for \(\frac{3}{2}\) of its original price'. It means that the computer was bought for 1.5 times its original price.

Step 2: Analyze the Logic

Consider the concept of 'saving money'. It usually means that you spend less than the initial or original cost. In this case, \(\frac{3}{2}\) is more than 1, meaning the purchase price is more than the original price.

Step 3: Compare and Conclude

Based on the analysis, it is clear that spending more than the original price signifies an increase in cost rather than a saving. Hence, the statement does not make sense as you cannot save money by spending more than the original price.