Problem 137 - Elementary Algebra

Question

Angelo's store is having a sale on televisions. One television, with original price \(\$ 859,\) is selling for \(\$ 125\) off.

Step-by-Step Solution

Answer

The sale price is \(\$ 734 \).

Step 1: Understand the Original Price

The original price of the television is given as \(\$ 859\).

Step 2: Calculate the Discount Amount

The television is on sale for \(\$ 125 \) off. This means we need to subtract \(\$ 125 \) from the original price.

Step 3: Subtract the Discount from the Original Price

Perform the subtraction: \( 859 - 125 = 734 \). So the sale price is \(\$ 734 \).

Key Concepts

Discount calculation

When a store offers a discount on a product, it means that the product's price is reduced by a certain amount. This is a common practice in stores to attract customers.
In our exercise, Angelo's store has a television originally priced at \$859\t that is being sold at \$125\t off.
To calculate the discounted price, you need to subtract the discount amount from the original price. This can be represented by the equation:
\[ \text{Sale Price} = \text{Original Price} - \text{Discount Amount} \]
Here, the original price is \$859\t and the discount amount is \$125\t. The calculation would be:
\[ 859 - 125 = 734 \]
Therefore, the sale price of the television is \$734\t. Calculating discounts is an essential skill, as it helps you understand how much you save when buying products on sale.

Subtraction

Subtraction is the mathematical operation of finding the difference between two numbers. It is one of the four basic arithmetic operations.
In the context of our problem, subtraction is used to determine the sale price of the television after applying the discount. The formula for subtraction is:
\[ \text{Difference} = \text{Minuend} - \text{Subtrahend} \]
Where the minuend is the original price (\t859\t) and the subtrahend is the discount amount (\t125\t).
Performing the subtraction:
\[ 859 - 125 = 734 \]
In simpler terms, you start with the original price and take away the discount amount to find the sale price. Mastering subtraction allows you to handle various real-life situations where you need to find out what's left after taking something away, like discounts, expenses, or changes.

Real-life math applications

Math is not just something you learn in school; it plays a crucial role in everyday life.
One example is calculating discounts, which is directly related to finance and economics.
Knowing how to calculate the discount of a product can help you make smart purchase decisions, understand sale promotions better, and manage your money effectively.
Let's take the example from our problem: Angelo's store is offering a discount on a television. By calculating the new price after the discount, you know exactly how much you're saving.
Real-life applications of math, like this, make abstract concepts more concrete and understandable. They help in budgeting, shopping, cooking, and even in various professions like engineering, medicine, or computer science.
Therefore, practicing these types of word problems enhances your critical thinking and problem-solving skills, making you better prepared for everyday life challenges.